377,724

2² × 3 × 31477

377,724 factors as 2^2 × 3 × 31477. Its 12 positive divisors give a proper-divisor sum of 503,660, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31477

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 881,384

Proper Divisor Sum 503,660

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #377717 ← → #377737

Radix Representation

Decimal	377724
Binary	1011100001101111100 (19 bits)
Octal	0o1341574
Hexadecimal	0x5C37C

Divisor Catalog (12)

1 2 3 4 6 12 31,477 62,954 94,431 125,908 188,862 377,724

Collatz Trajectory (91 steps to reach 1)

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

377,724 188,862 94,431 283,294 141,647 424,942 212,471 637,414 318,707 956,122 478,061 1,434,184 717,092 358,546 179,273 537,820 268,910 134,455 403,366 201,683 605,050 302,525 907,576 453,788 226,894 113,447 340,342 170,171 510,514 255,257 765,772 382,886 191,443 574,330 287,165 861,496 430,748 215,374 107,687 323,062 161,531 484,594 242,297 726,892 363,446 181,723 545,170 272,585 817,756 408,878 204,439 613,318 306,659 919,978 459,989 1,379,968 689,984 344,992 172,496 86,248

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