3,746,264

2³ × 59 × 7937

3,746,264 factors as 2^3 × 59 × 7937. Its 16 positive divisors give a proper-divisor sum of 3,397,936, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 7937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,144,200

Proper Divisor Sum 3,397,936

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3746233 ← → #3746269

Radix Representation

Decimal	3746264
Binary	1110010010100111011000 (22 bits)
Octal	0o16224730
Hexadecimal	0x3929D8

Divisor Catalog (16)

1 2 4 8 59 118 236 472 7,937 15,874 31,748 63,496 468,283 936,566 1,873,132 3,746,264

Collatz Trajectory (66 steps to reach 1)

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

3,746,264 1,873,132 936,566 468,283 1,404,850 702,425 2,107,276 1,053,638 526,819 1,580,458 790,229 2,370,688 1,185,344 592,672 296,336 148,168 74,084 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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