7,642,632

2³ × 3 × 318443

7,642,632 is even and not a perfect square. Its factorization is 2^3 × 3 × 318443 and its 16 divisors sum to 19,106,640.

Prime Factor Structure

Factorization String 2^3 × 3 × 318443

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,106,640

Proper Divisor Sum 11,464,008

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7642627 ← → #7642669

Radix Representation

Decimal	7642632
Binary	11101001001111000001000 (23 bits)
Octal	0o35117010
Hexadecimal	0x749E08

Divisor Catalog (16)

1 2 3 4 6 8 12 24 318,443 636,886 955,329 1,273,772 1,910,658 2,547,544 3,821,316 7,642,632

Collatz Trajectory (80 steps to reach 1)

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

7,642,632 3,821,316 1,910,658 955,329 2,865,988 1,432,994 716,497 2,149,492 1,074,746 537,373 1,612,120 806,060 403,030 201,515 604,546 302,273 906,820 453,410 226,705 680,116 340,058 170,029 510,088 255,044 127,522 63,761 191,284 95,642 47,821 143,464 71,732 35,866 17,933 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

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