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Atlas › Integer Profiles › Node 9,775,992

9,775,992

23 × 3 × 37 × 101 × 109
Abundant Even Composite

9,775,992 factors as 2^3 × 3 × 37 × 101 × 109. Its 64 positive divisors give a proper-divisor sum of 15,805,608, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 101 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,581,600
Proper Divisor Sum 15,805,608
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9775949 ← → #9775993

Radix Representation

Decimal 9775992
Binary 100101010010101101111000 (24 bits)
Octal 0o45225570
Hexadecimal 0x952B78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 37 74 101 109 111 148 202 218 222 296 303 327 404 436 444 606 654 808 872 888 1,212 1,308 2,424 2,616 3,737 4,033 7,474 8,066 11,009 11,211 12,099 14,948 16,132 22,018 22,422 24,198 29,896 32,264 33,027 44,036 44,844 48,396 66,054 88,072 89,688 96,792 132,108 264,216 407,333 814,666 1,221,999 1,629,332

Collatz Trajectory (114 steps to reach 1)

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

9,775,992 4,887,996 2,443,998 1,221,999 3,665,998 1,832,999 5,498,998 2,749,499 8,248,498 4,124,249 12,372,748 6,186,374 3,093,187 9,279,562 4,639,781 13,919,344 6,959,672 3,479,836 1,739,918 869,959 2,609,878 1,304,939 3,914,818 1,957,409 5,872,228 2,936,114 1,468,057 4,404,172 2,202,086 1,101,043 3,303,130 1,651,565 4,954,696 2,477,348 1,238,674 619,337 1,858,012 929,006 464,503 1,393,510 696,755 2,090,266 1,045,133 3,135,400 1,567,700 783,850 391,925 1,175,776 587,888 293,944 146,972 73,486 36,743 110,230 55,115 165,346 82,673 248,020 124,010 62,005

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