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Atlas › Integer Profiles › Node 10,924,924

10,924,924

22 × 19 × 43 × 3343
Deficient Even Composite

10,924,924 factors as 2^2 × 19 × 43 × 3343. Its 24 positive divisors give a proper-divisor sum of 9,674,116, so this integer is deficient. The Collatz stopping time is 264 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 43 × 3343
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,599,040
Proper Divisor Sum 9,674,116
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10924919 ← → #10924933

Radix Representation

Decimal 10924924
Binary 101001101011001101111100 (24 bits)
Octal 0o51531574
Hexadecimal 0xA6B37C

Divisor Catalog (24)

1 2 4 19 38 43 76 86 172 817 1,634 3,268 3,343 6,686 13,372 63,517 127,034 143,749 254,068 287,498 574,996 2,731,231 5,462,462 10,924,924

Collatz Trajectory (264 steps to reach 1)

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

10,924,924 5,462,462 2,731,231 8,193,694 4,096,847 12,290,542 6,145,271 18,435,814 9,217,907 27,653,722 13,826,861 41,480,584 20,740,292 10,370,146 5,185,073 15,555,220 7,777,610 3,888,805 11,666,416 5,833,208 2,916,604 1,458,302 729,151 2,187,454 1,093,727 3,281,182 1,640,591 4,921,774 2,460,887 7,382,662 3,691,331 11,073,994 5,536,997 16,610,992 8,305,496 4,152,748 2,076,374 1,038,187 3,114,562 1,557,281 4,671,844 2,335,922 1,167,961 3,503,884 1,751,942 875,971 2,627,914 1,313,957 3,941,872 1,970,936 985,468 492,734 246,367 739,102 369,551 1,108,654 554,327 1,662,982 831,491 2,494,474

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