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Atlas › Integer Profiles › Node 96,040,539

96,040,539

33 × 72 × 229 × 317
Deficient Odd Composite

96,040,539 factors as 3^3 × 7^2 × 229 × 317. Its 48 positive divisors give a proper-divisor sum of 70,718,661, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 229 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 166,759,200
Proper Divisor Sum 70,718,661
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #96040519 ← → #96040541

Radix Representation

Decimal 96040539
Binary 101101110010111011001011011 (27 bits)
Octal 0o556273133
Hexadecimal 0x5B9765B

Divisor Catalog (48)

1 3 7 9 21 27 49 63 147 189 229 317 441 687 951 1,323 1,603 2,061 2,219 2,853 4,809 6,183 6,657 8,559 11,221 14,427 15,533 19,971 33,663 43,281 46,599 59,913 72,593 100,989 139,797 217,779 302,967 419,391 508,151 653,337 1,524,453 1,960,011 3,557,057 4,573,359 10,671,171 13,720,077 32,013,513 96,040,539

Collatz Trajectory (218 steps to reach 1)

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

96,040,539 288,121,618 144,060,809 432,182,428 216,091,214 108,045,607 324,136,822 162,068,411 486,205,234 243,102,617 729,307,852 364,653,926 182,326,963 546,980,890 273,490,445 820,471,336 410,235,668 205,117,834 102,558,917 307,676,752 153,838,376 76,919,188 38,459,594 19,229,797 57,689,392 28,844,696 14,422,348 7,211,174 3,605,587 10,816,762 5,408,381 16,225,144 8,112,572 4,056,286 2,028,143 6,084,430 3,042,215 9,126,646 4,563,323 13,689,970 6,844,985 20,534,956 10,267,478 5,133,739 15,401,218 7,700,609 23,101,828 11,550,914 5,775,457 17,326,372 8,663,186 4,331,593 12,994,780 6,497,390 3,248,695 9,746,086 4,873,043 14,619,130 7,309,565 21,928,696

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