377,484

2² × 3 × 83 × 379

377,484 factors as 2^2 × 3 × 83 × 379. Its 24 positive divisors give a proper-divisor sum of 516,276, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 893,760

Proper Divisor Sum 516,276

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #377477 ← → #377491

Radix Representation

Decimal	377484
Binary	1011100001010001100 (19 bits)
Octal	0o1341214
Hexadecimal	0x5C28C

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 379 498 758 996 1,137 1,516 2,274 4,548 31,457 62,914 94,371 125,828 188,742 377,484

Collatz Trajectory (86 steps to reach 1)

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

377,484 188,742 94,371 283,114 141,557 424,672 212,336 106,168 53,084 26,542 13,271 39,814 19,907 59,722 29,861 89,584 44,792 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400

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