λ
Math Directory

9,475,976

23 × 53 × 22349
Deficient Even Composite

9,475,976 factors as 2^3 × 53 × 22349. Its 16 positive divisors give a proper-divisor sum of 8,627,524, so this integer is deficient. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 2^3 × 53 × 22349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,103,500
Proper Divisor Sum 8,627,524
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9475957 ← → #9475979

Radix Representation

Decimal 9475976
Binary 100100001001011110001000 (24 bits)
Octal 0o44113610
Hexadecimal 0x909788

Divisor Catalog (16)

1 2 4 8 53 106 212 424 22,349 44,698 89,396 178,792 1,184,497 2,368,994 4,737,988 9,475,976

Collatz Trajectory (44 steps to reach 1)

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

9,475,976 4,737,988 2,368,994 1,184,497 3,553,492 1,776,746 888,373 2,665,120 1,332,560 666,280 333,140 166,570 83,285 249,856 124,928 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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