λ
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Atlas › Integer Profiles › Node 96,665,642

96,665,642

2 × 23 × 29 × 233 × 311
Deficient Even Composite

96,665,642 factors as 2 × 23 × 29 × 233 × 311. Its 32 positive divisors give a proper-divisor sum of 61,031,638, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 233 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 157,697,280
Proper Divisor Sum 61,031,638
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #96665629 ← → #96665713

Radix Representation

Decimal 96665642
Binary 101110000110000000000101010 (27 bits)
Octal 0o560600052
Hexadecimal 0x5C3002A

Divisor Catalog (32)

1 2 23 29 46 58 233 311 466 622 667 1,334 5,359 6,757 7,153 9,019 10,718 13,514 14,306 18,038 72,463 144,926 155,411 207,437 310,822 414,874 1,666,649 2,101,427 3,333,298 4,202,854 48,332,821 96,665,642

Collatz Trajectory (187 steps to reach 1)

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

96,665,642 48,332,821 144,998,464 72,499,232 36,249,616 18,124,808 9,062,404 4,531,202 2,265,601 6,796,804 3,398,402 1,699,201 5,097,604 2,548,802 1,274,401 3,823,204 1,911,602 955,801 2,867,404 1,433,702 716,851 2,150,554 1,075,277 3,225,832 1,612,916 806,458 403,229 1,209,688 604,844 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032

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