λ
Integer Codex

9,700,675

52 × 31 × 12517
Deficient Odd Composite

For 9,700,675, the 12 positive divisors have a total of 12,417,856. Removing 9,700,675 leaves 2,717,181, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 31 × 12517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,417,856
Proper Divisor Sum 2,717,181
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9700657 ← → #9700709

Radix Representation

Decimal 9700675
Binary 100101000000010101000011 (24 bits)
Octal 0o45002503
Hexadecimal 0x940543

Divisor Catalog (12)

1 5 25 31 155 775 12,517 62,585 312,925 388,027 1,940,135 9,700,675

Collatz Trajectory (119 steps to reach 1)

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

9,700,675 29,102,026 14,551,013 43,653,040 21,826,520 10,913,260 5,456,630 2,728,315 8,184,946 4,092,473 12,277,420 6,138,710 3,069,355 9,208,066 4,604,033 13,812,100 6,906,050 3,453,025 10,359,076 5,179,538 2,589,769 7,769,308 3,884,654 1,942,327 5,826,982 2,913,491 8,740,474 4,370,237 13,110,712 6,555,356 3,277,678 1,638,839 4,916,518 2,458,259 7,374,778 3,687,389 11,062,168 5,531,084 2,765,542 1,382,771 4,148,314 2,074,157 6,222,472 3,111,236 1,555,618 777,809 2,333,428 1,166,714 583,357 1,750,072 875,036 437,518 218,759 656,278 328,139 984,418 492,209 1,476,628 738,314 369,157

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