λ
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9,745,960

23 × 5 × 7 × 34807
Abundant Even Composite

9,745,960 factors as 2^3 × 5 × 7 × 34807. Its 32 positive divisors give a proper-divisor sum of 15,315,800, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 34807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,061,760
Proper Divisor Sum 15,315,800
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9745949 ← → #9745979

Radix Representation

Decimal 9745960
Binary 100101001011011000101000 (24 bits)
Octal 0o45133050
Hexadecimal 0x94B628

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 34,807 69,614 139,228 174,035 243,649 278,456 348,070 487,298 696,140 974,596 1,218,245 1,392,280 1,949,192 2,436,490 4,872,980 9,745,960

Collatz Trajectory (62 steps to reach 1)

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

9,745,960 4,872,980 2,436,490 1,218,245 3,654,736 1,827,368 913,684 456,842 228,421 685,264 342,632 171,316 85,658 42,829 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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