36,927,720

2³ × 3² × 5 × 67 × 1531

36,927,720 factors as 2^3 × 3^2 × 5 × 67 × 1531. Its 96 positive divisors give a proper-divisor sum of 84,958,200, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 67 × 1531

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 121,885,920

Proper Divisor Sum 84,958,200

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36927691 ← → #36927767

Radix Representation

Decimal	36927720
Binary	10001100110111100011101000 (26 bits)
Octal	0o214674350
Hexadecimal	0x23378E8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1,005 1,206 1,340 1,531 1,608 2,010 2,412 2,680 3,015 3,062 4,020 4,593 4,824 6,030 6,124 7,655 8,040 9,186 12,060 12,248 13,779 15,310 18,372 22,965 24,120 27,558

Collatz Trajectory (227 steps to reach 1)

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

36,927,720 18,463,860 9,231,930 4,615,965 13,847,896 6,923,948 3,461,974 1,730,987 5,192,962 2,596,481 7,789,444 3,894,722 1,947,361 5,842,084 2,921,042 1,460,521 4,381,564 2,190,782 1,095,391 3,286,174 1,643,087 4,929,262 2,464,631 7,393,894 3,696,947 11,090,842 5,545,421 16,636,264 8,318,132 4,159,066 2,079,533 6,238,600 3,119,300 1,559,650 779,825 2,339,476 1,169,738 584,869 1,754,608 877,304 438,652 219,326 109,663 328,990 164,495 493,486 246,743 740,230 370,115 1,110,346 555,173 1,665,520 832,760 416,380 208,190 104,095 312,286 156,143 468,430 234,215

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