36,964,850

2 × 5² × 13 × 29 × 37 × 53

36,964,850 factors as 2 × 5^2 × 13 × 29 × 37 × 53. Its 96 positive divisors give a proper-divisor sum of 43,186,270, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 29 × 37 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 80,151,120

Proper Divisor Sum 43,186,270

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #36964849 ← → #36964853

Radix Representation

Decimal	36964850
Binary	10001101000000100111110010 (26 bits)
Octal	0o215004762
Hexadecimal	0x23409F2

Divisor Catalog (60 of 96)

1 2 5 10 13 25 26 29 37 50 53 58 65 74 106 130 145 185 265 290 325 370 377 481 530 650 689 725 754 925 962 1,073 1,325 1,378 1,450 1,537 1,850 1,885 1,961 2,146 2,405 2,650 3,074 3,445 3,770 3,922 4,810 5,365 6,890 7,685 9,425 9,805 10,730 12,025 13,949 15,370 17,225 18,850 19,610 19,981

Collatz Trajectory (108 steps to reach 1)

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

36,964,850 18,482,425 55,447,276 27,723,638 13,861,819 41,585,458 20,792,729 62,378,188 31,189,094 15,594,547 46,783,642 23,391,821 70,175,464 35,087,732 17,543,866 8,771,933 26,315,800 13,157,900 6,578,950 3,289,475 9,868,426 4,934,213 14,802,640 7,401,320 3,700,660 1,850,330 925,165 2,775,496 1,387,748 693,874 346,937 1,040,812 520,406 260,203 780,610 390,305 1,170,916 585,458 292,729 878,188 439,094 219,547 658,642 329,321 987,964 493,982 246,991 740,974 370,487 1,111,462 555,731 1,667,194 833,597 2,500,792 1,250,396 625,198 312,599 937,798 468,899 1,406,698

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