λ
Prime Ledger

9,641,335

5 × 11 × 307 × 571
Deficient Odd Composite

9,641,335 has the prime decomposition 5 × 11 × 307 × 571. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 307 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,684,672
Proper Divisor Sum 3,043,337
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9641299 ← → #9641383

Radix Representation

Decimal 9641335
Binary 100100110001110101110111 (24 bits)
Octal 0o44616567
Hexadecimal 0x931D77

Divisor Catalog (16)

1 5 11 55 307 571 1,535 2,855 3,377 6,281 16,885 31,405 175,297 876,485 1,928,267 9,641,335

Collatz Trajectory (145 steps to reach 1)

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

9,641,335 28,924,006 14,462,003 43,386,010 21,693,005 65,079,016 32,539,508 16,269,754 8,134,877 24,404,632 12,202,316 6,101,158 3,050,579 9,151,738 4,575,869 13,727,608 6,863,804 3,431,902 1,715,951 5,147,854 2,573,927 7,721,782 3,860,891 11,582,674 5,791,337 17,374,012 8,687,006 4,343,503 13,030,510 6,515,255 19,545,766 9,772,883 29,318,650 14,659,325 43,977,976 21,988,988 10,994,494 5,497,247 16,491,742 8,245,871 24,737,614 12,368,807 37,106,422 18,553,211 55,659,634 27,829,817 83,489,452 41,744,726 20,872,363 62,617,090 31,308,545 93,925,636 46,962,818 23,481,409 70,444,228 35,222,114 17,611,057 52,833,172 26,416,586 13,208,293

More profiles

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