9,791,560

2³ × 5 × 23 × 29 × 367

Starting at 9,791,560, the Collatz iteration reaches 1 after 119 steps. The first transition is 4895780; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 29 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,846,400

Proper Divisor Sum 14,054,840

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9791549 ← → #9791597

Radix Representation

Decimal	9791560
Binary	100101010110100001001000 (24 bits)
Octal	0o45264110
Hexadecimal	0x956848

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 367 460 580 667 734 920 1,160 1,334 1,468 1,835 2,668 2,936 3,335 3,670 5,336 6,670 7,340 8,441 10,643 13,340 14,680 16,882 21,286 26,680 33,764 42,205 42,572 53,215 67,528 84,410 85,144 106,430 168,820 212,860 244,789 337,640 425,720 489,578 979,156 1,223,945

Collatz Trajectory (119 steps to reach 1)

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

9,791,560 4,895,780 2,447,890 1,223,945 3,671,836 1,835,918 917,959 2,753,878 1,376,939 4,130,818 2,065,409 6,196,228 3,098,114 1,549,057 4,647,172 2,323,586 1,161,793 3,485,380 1,742,690 871,345 2,614,036 1,307,018 653,509 1,960,528 980,264 490,132 245,066 122,533 367,600 183,800 91,900 45,950 22,975 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425 883,276 441,638 220,819 662,458 331,229 993,688 496,844 248,422 124,211 372,634

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