3,687,472

2⁴ × 230467

3,687,472 is even and not a perfect square. Its factorization is 2^4 × 230467 and its 10 divisors sum to 7,144,508.

Prime Factor Structure

Factorization String 2^4 × 230467

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,144,508

Proper Divisor Sum 3,457,036

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3687469 ← → #3687557

Radix Representation

Decimal	3687472
Binary	1110000100010000110000 (22 bits)
Octal	0o16042060
Hexadecimal	0x384430

Divisor Catalog (10)

1 2 4 8 16 230,467 460,934 921,868 1,843,736 3,687,472

Collatz Trajectory (172 steps to reach 1)

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

3,687,472 1,843,736 921,868 460,934 230,467 691,402 345,701 1,037,104 518,552 259,276 129,638 64,819 194,458 97,229 291,688 145,844 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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