λ
Integer Codex

9,602,138

2 × 72 × 13 × 7537
Deficient Even Composite

For 9,602,138, the 24 positive divisors have a total of 18,045,972. Removing 9,602,138 leaves 8,443,834, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 7537
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,045,972
Proper Divisor Sum 8,443,834
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9602119 ← → #9602149

Radix Representation

Decimal 9602138
Binary 100100101000010001011010 (24 bits)
Octal 0o44502132
Hexadecimal 0x92845A

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 1,274 7,537 15,074 52,759 97,981 105,518 195,962 369,313 685,867 738,626 1,371,734 4,801,069 9,602,138

Collatz Trajectory (93 steps to reach 1)

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

9,602,138 4,801,069 14,403,208 7,201,604 3,600,802 1,800,401 5,401,204 2,700,602 1,350,301 4,050,904 2,025,452 1,012,726 506,363 1,519,090 759,545 2,278,636 1,139,318 569,659 1,708,978 854,489 2,563,468 1,281,734 640,867 1,922,602 961,301 2,883,904 1,441,952 720,976 360,488 180,244 90,122 45,061 135,184 67,592 33,796 16,898 8,449 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694

More profiles

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