λ
Prime Ledger

9,174,032

24 × 7 × 101 × 811
Abundant Even Composite

9,174,032 has the prime decomposition 2^4 × 7 × 101 × 811. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 101 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,540,352
Proper Divisor Sum 11,366,320
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9174029 ← → #9174041

Radix Representation

Decimal 9174032
Binary 100010111111110000010000 (24 bits)
Octal 0o42776020
Hexadecimal 0x8BFC10

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 811 1,414 1,616 1,622 2,828 3,244 5,656 5,677 6,488 11,312 11,354 12,976 22,708 45,416 81,911 90,832 163,822 327,644 573,377 655,288 1,146,754 1,310,576 2,293,508 4,587,016 9,174,032

Collatz Trajectory (106 steps to reach 1)

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

9,174,032 4,587,016 2,293,508 1,146,754 573,377 1,720,132 860,066 430,033 1,290,100 645,050 322,525 967,576 483,788 241,894 120,947 362,842 181,421 544,264 272,132 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706

More profiles

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