λ
Prime Ledger

9,662,496

25 × 3 × 251 × 401
Abundant Even Composite

9,662,496 has the prime decomposition 2^5 × 3 × 251 × 401. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 251 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,528,608
Proper Divisor Sum 15,866,112
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9662491 ← → #9662509

Radix Representation

Decimal 9662496
Binary 100100110111000000100000 (24 bits)
Octal 0o44670040
Hexadecimal 0x937020

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 251 401 502 753 802 1,004 1,203 1,506 1,604 2,008 2,406 3,012 3,208 4,016 4,812 6,024 6,416 8,032 9,624 12,048 12,832 19,248 24,096 38,496 100,651 201,302 301,953 402,604 603,906 805,208 1,207,812 1,610,416 2,415,624 3,220,832 4,831,248 9,662,496

Collatz Trajectory (163 steps to reach 1)

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

9,662,496 4,831,248 2,415,624 1,207,812 603,906 301,953 905,860 452,930 226,465 679,396 339,698 169,849 509,548 254,774 127,387 382,162 191,081 573,244 286,622 143,311 429,934 214,967 644,902 322,451 967,354 483,677 1,451,032 725,516 362,758 181,379 544,138 272,069 816,208 408,104 204,052 102,026 51,013 153,040 76,520 38,260 19,130 9,565 28,696 14,348 7,174 3,587 10,762 5,381 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284

More profiles

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