337,767

3 × 112589

337,767 factors as 3 × 112589. Its 4 positive divisors give a proper-divisor sum of 112,593, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 112589

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 450,360

Proper Divisor Sum 112,593

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #337759 ← → #337781

Radix Representation

Decimal	337767
Binary	1010010011101100111 (19 bits)
Octal	0o1223547
Hexadecimal	0x52767

Divisor Catalog (4)

1 3 112,589 337,767

Collatz Trajectory (166 steps to reach 1)

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

337,767 1,013,302 506,651 1,519,954 759,977 2,279,932 1,139,966 569,983 1,709,950 854,975 2,564,926 1,282,463 3,847,390 1,923,695 5,771,086 2,885,543 8,656,630 4,328,315 12,984,946 6,492,473 19,477,420 9,738,710 4,869,355 14,608,066 7,304,033 21,912,100 10,956,050 5,478,025 16,434,076 8,217,038 4,108,519 12,325,558 6,162,779 18,488,338 9,244,169 27,732,508 13,866,254 6,933,127 20,799,382 10,399,691 31,199,074 15,599,537 46,798,612 23,399,306 11,699,653 35,098,960 17,549,480 8,774,740 4,387,370 2,193,685 6,581,056 3,290,528 1,645,264 822,632 411,316 205,658 102,829 308,488 154,244 77,122

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