λ
Prime Ledger

9,644,496

24 × 3 × 200927
Abundant Even Composite

9,644,496 has the prime decomposition 2^4 × 3 × 200927. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 200927
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 24,915,072
Proper Divisor Sum 15,270,576
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9644489 ← → #9644519

Radix Representation

Decimal 9644496
Binary 100100110010100111010000 (24 bits)
Octal 0o44624720
Hexadecimal 0x9329D0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 200,927 401,854 602,781 803,708 1,205,562 1,607,416 2,411,124 3,214,832 4,822,248 9,644,496

Collatz Trajectory (145 steps to reach 1)

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

9,644,496 4,822,248 2,411,124 1,205,562 602,781 1,808,344 904,172 452,086 226,043 678,130 339,065 1,017,196 508,598 254,299 762,898 381,449 1,144,348 572,174 286,087 858,262 429,131 1,287,394 643,697 1,931,092 965,546 482,773 1,448,320 724,160 362,080 181,040 90,520 45,260 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205

More profiles

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