7,643,152

2⁴ × 11 × 43427

7,643,152 factors as 2^4 × 11 × 43427. Its 20 positive divisors give a proper-divisor sum of 8,512,064, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 43427

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,155,216

Proper Divisor Sum 8,512,064

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7643137 ← → #7643161

Radix Representation

Decimal	7643152
Binary	11101001010000000010000 (23 bits)
Octal	0o35120020
Hexadecimal	0x74A010

Divisor Catalog (20)

Collatz Trajectory (80 steps to reach 1)

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

7,643,152 3,821,576 1,910,788 955,394 477,697 1,433,092 716,546 358,273 1,074,820 537,410 268,705 806,116 403,058 201,529 604,588 302,294 151,147 453,442 226,721 680,164 340,082 170,041 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 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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