3,758,967

3⁵ × 31 × 499

3,758,967 factors as 3^5 × 31 × 499. Its 24 positive divisors give a proper-divisor sum of 2,065,033, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^5 × 31 × 499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,824,000

Proper Divisor Sum 2,065,033

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3758947 ← → #3758969

Radix Representation

Decimal	3758967
Binary	1110010101101101110111 (22 bits)
Octal	0o16255567
Hexadecimal	0x395B77

Divisor Catalog (24)

Collatz Trajectory (154 steps to reach 1)

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

3,758,967 11,276,902 5,638,451 16,915,354 8,457,677 25,373,032 12,686,516 6,343,258 3,171,629 9,514,888 4,757,444 2,378,722 1,189,361 3,568,084 1,784,042 892,021 2,676,064 1,338,032 669,016 334,508 167,254 83,627 250,882 125,441 376,324 188,162 94,081 282,244 141,122 70,561 211,684 105,842 52,921 158,764 79,382 39,691 119,074 59,537 178,612 89,306 44,653 133,960 66,980 33,490 16,745 50,236 25,118 12,559 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974

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