9,457,880

2³ × 5 × 41 × 73 × 79

Starting at 9,457,880, the Collatz iteration reaches 1 after 101 steps. The first transition is 4728940; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 73 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,377,600

Proper Divisor Sum 12,919,720

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9457871 ← → #9457891

Radix Representation

Decimal	9457880
Binary	100100000101000011011000 (24 bits)
Octal	0o44050330
Hexadecimal	0x9050D8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 41 73 79 82 146 158 164 205 292 316 328 365 395 410 584 632 730 790 820 1,460 1,580 1,640 2,920 2,993 3,160 3,239 5,767 5,986 6,478 11,534 11,972 12,956 14,965 16,195 23,068 23,944 25,912 28,835 29,930 32,390 46,136 57,670 59,860 64,780 115,340 119,720 129,560 230,680 236,447 472,894 945,788 1,182,235

Collatz Trajectory (101 steps to reach 1)

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

9,457,880 4,728,940 2,364,470 1,182,235 3,546,706 1,773,353 5,320,060 2,660,030 1,330,015 3,990,046 1,995,023 5,985,070 2,992,535 8,977,606 4,488,803 13,466,410 6,733,205 20,199,616 10,099,808 5,049,904 2,524,952 1,262,476 631,238 315,619 946,858 473,429 1,420,288 710,144 355,072 177,536 88,768 44,384 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

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