36,948,044

2² × 7 × 311 × 4243

36,948,044 factors as 2^2 × 7 × 311 × 4243. Its 24 positive divisors give a proper-divisor sum of 37,203,124, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 311 × 4243

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 74,151,168

Proper Divisor Sum 37,203,124

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #36948019 ← → #36948047

Radix Representation

Decimal	36948044
Binary	10001100111100100001001100 (26 bits)
Octal	0o214744114
Hexadecimal	0x233C84C

Divisor Catalog (24)

Collatz Trajectory (165 steps to reach 1)

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

36,948,044 18,474,022 9,237,011 27,711,034 13,855,517 41,566,552 20,783,276 10,391,638 5,195,819 15,587,458 7,793,729 23,381,188 11,690,594 5,845,297 17,535,892 8,767,946 4,383,973 13,151,920 6,575,960 3,287,980 1,643,990 821,995 2,465,986 1,232,993 3,698,980 1,849,490 924,745 2,774,236 1,387,118 693,559 2,080,678 1,040,339 3,121,018 1,560,509 4,681,528 2,340,764 1,170,382 585,191 1,755,574 877,787 2,633,362 1,316,681 3,950,044 1,975,022 987,511 2,962,534 1,481,267 4,443,802 2,221,901 6,665,704 3,332,852 1,666,426 833,213 2,499,640 1,249,820 624,910 312,455 937,366 468,683 1,406,050

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