λ
Ratio Atlas
Atlas › Integer Profiles › Node 58,448,950

58,448,950

2 × 52 × 7 × 31 × 5387
Abundant Even Composite

58,448,950 factors as 2 × 5^2 × 7 × 31 × 5387. Its 48 positive divisors give a proper-divisor sum of 69,828,554, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 31 × 5387
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,277,504
Proper Divisor Sum 69,828,554
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #58448947 ← → #58448953

Radix Representation

Decimal 58448950
Binary 11011110111101110000110110 (26 bits)
Octal 0o336756066
Hexadecimal 0x37BDC36

Divisor Catalog (48)

1 2 5 7 10 14 25 31 35 50 62 70 155 175 217 310 350 434 775 1,085 1,550 2,170 5,387 5,425 10,774 10,850 26,935 37,709 53,870 75,418 134,675 166,997 188,545 269,350 333,994 377,090 834,985 942,725 1,168,979 1,669,970 1,885,450 2,337,958 4,174,925 5,844,895 8,349,850 11,689,790 29,224,475 58,448,950

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

58,448,950 29,224,475 87,673,426 43,836,713 131,510,140 65,755,070 32,877,535 98,632,606 49,316,303 147,948,910 73,974,455 221,923,366 110,961,683 332,885,050 166,442,525 499,327,576 249,663,788 124,831,894 62,415,947 187,247,842 93,623,921 280,871,764 140,435,882 70,217,941 210,653,824 105,326,912 52,663,456 26,331,728 13,165,864 6,582,932 3,291,466 1,645,733 4,937,200 2,468,600 1,234,300 617,150 308,575 925,726 462,863 1,388,590 694,295 2,082,886 1,041,443 3,124,330 1,562,165 4,686,496 2,343,248 1,171,624 585,812 292,906 146,453 439,360 219,680 109,840 54,920 27,460 13,730 6,865 20,596 10,298

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #58,448,949 Browse Full Index Next Integer #58,448,951 →