96,258,279

3 × 13 × 29 × 85109

96,258,279 factors as 3 × 13 × 29 × 85109. Its 16 positive divisors give a proper-divisor sum of 46,726,521, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 85109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 142,984,800

Proper Divisor Sum 46,726,521

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #96258277 ← → #96258287

Radix Representation

Decimal	96258279
Binary	101101111001100100011100111 (27 bits)
Octal	0o557144347
Hexadecimal	0x5BCC8E7

Divisor Catalog (16)

1 3 13 29 39 87 377 1,131 85,109 255,327 1,106,417 2,468,161 3,319,251 7,404,483 32,086,093 96,258,279

Collatz Trajectory (117 steps to reach 1)

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

96,258,279 288,774,838 144,387,419 433,162,258 216,581,129 649,743,388 324,871,694 162,435,847 487,307,542 243,653,771 730,961,314 365,480,657 1,096,441,972 548,220,986 274,110,493 822,331,480 411,165,740 205,582,870 102,791,435 308,374,306 154,187,153 462,561,460 231,280,730 115,640,365 346,921,096 173,460,548 86,730,274 43,365,137 130,095,412 65,047,706 32,523,853 97,571,560 48,785,780 24,392,890 12,196,445 36,589,336 18,294,668 9,147,334 4,573,667 13,721,002 6,860,501 20,581,504 10,290,752 5,145,376 2,572,688 1,286,344 643,172 321,586 160,793 482,380 241,190 120,595 361,786 180,893 542,680 271,340 135,670 67,835 203,506 101,753

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