7,653,736

2³ × 239 × 4003

7,653,736 factors as 2^3 × 239 × 4003. Its 16 positive divisors give a proper-divisor sum of 6,760,664, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 239 × 4003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,414,400

Proper Divisor Sum 6,760,664

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7653727 ← → #7653749

Radix Representation

Decimal	7653736
Binary	11101001100100101101000 (23 bits)
Octal	0o35144550
Hexadecimal	0x74C968

Divisor Catalog (16)

1 2 4 8 239 478 956 1,912 4,003 8,006 16,012 32,024 956,717 1,913,434 3,826,868 7,653,736

Collatz Trajectory (80 steps to reach 1)

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

7,653,736 3,826,868 1,913,434 956,717 2,870,152 1,435,076 717,538 358,769 1,076,308 538,154 269,077 807,232 403,616 201,808 100,904 50,452 25,226 12,613 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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