36,970,848

2⁵ × 3² × 31 × 41 × 101

36,970,848 factors as 2^5 × 3^2 × 31 × 41 × 101. Its 144 positive divisors give a proper-divisor sum of 75,304,224, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 31 × 41 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 112,275,072

Proper Divisor Sum 75,304,224

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36970847 ← → #36970859

Radix Representation

Decimal	36970848
Binary	10001101000010000101100000 (26 bits)
Octal	0o215020540
Hexadecimal	0x2342160

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 16 18 24 31 32 36 41 48 62 72 82 93 96 101 123 124 144 164 186 202 246 248 279 288 303 328 369 372 404 492 496 558 606 656 738 744 808 909 984 992 1,116 1,212 1,271 1,312 1,476 1,488 1,616 1,818 1,968 2,232 2,424 2,542

Collatz Trajectory (77 steps to reach 1)

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

36,970,848 18,485,424 9,242,712 4,621,356 2,310,678 1,155,339 3,466,018 1,733,009 5,199,028 2,599,514 1,299,757 3,899,272 1,949,636 974,818 487,409 1,462,228 731,114 365,557 1,096,672 548,336 274,168 137,084 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,970,847 Browse Full Index Next Integer #36,970,849 →