50,003,460

2² × 3³ × 5 × 13 × 17 × 419

50,003,460 factors as 2^2 × 3^3 × 5 × 13 × 17 × 419. Its 192 positive divisors give a proper-divisor sum of 127,807,740, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 17 × 419

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 177,811,200

Proper Divisor Sum 127,807,740

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #50003411 ← → #50003461

Radix Representation

Decimal	50003460
Binary	10111110101111111000000100 (26 bits)
Octal	0o276577004
Hexadecimal	0x2FAFE04

Divisor Catalog (60 of 192)

1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 34 36 39 45 51 52 54 60 65 68 78 85 90 102 108 117 130 135 153 156 170 180 195 204 221 234 255 260 270 306 340 351 390 419 442 459 468 510 540 585 612 663 702

Collatz Trajectory (160 steps to reach 1)

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

50,003,460 25,001,730 12,500,865 37,502,596 18,751,298 9,375,649 28,126,948 14,063,474 7,031,737 21,095,212 10,547,606 5,273,803 15,821,410 7,910,705 23,732,116 11,866,058 5,933,029 17,799,088 8,899,544 4,449,772 2,224,886 1,112,443 3,337,330 1,668,665 5,005,996 2,502,998 1,251,499 3,754,498 1,877,249 5,631,748 2,815,874 1,407,937 4,223,812 2,111,906 1,055,953 3,167,860 1,583,930 791,965 2,375,896 1,187,948 593,974 296,987 890,962 445,481 1,336,444 668,222 334,111 1,002,334 501,167 1,503,502 751,751 2,255,254 1,127,627 3,382,882 1,691,441 5,074,324 2,537,162 1,268,581 3,805,744 1,902,872

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,003,459 Browse Full Index Next Integer #50,003,461 →