36,922,628

2² × 67 × 137771

36,922,628 factors as 2^2 × 67 × 137771. Its 12 positive divisors give a proper-divisor sum of 28,656,844, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 137771

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 65,579,472

Proper Divisor Sum 28,656,844

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #36922621 ← → #36922631

Radix Representation

Decimal	36922628
Binary	10001100110110010100000100 (26 bits)
Octal	0o214662404
Hexadecimal	0x2336504

Divisor Catalog (12)

1 2 4 67 134 268 137,771 275,542 551,084 9,230,657 18,461,314 36,922,628

Collatz Trajectory (90 steps to reach 1)

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

36,922,628 18,461,314 9,230,657 27,691,972 13,845,986 6,922,993 20,768,980 10,384,490 5,192,245 15,576,736 7,788,368 3,894,184 1,947,092 973,546 486,773 1,460,320 730,160 365,080 182,540 91,270 45,635 136,906 68,453 205,360 102,680 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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