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Atlas › Integer Profiles › Node 9,724,352

9,724,352

26 × 11 × 19 × 727
Abundant Even Composite

9,724,352 factors as 2^6 × 11 × 19 × 727. Its 56 positive divisors give a proper-divisor sum of 12,465,088, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 19 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 22,189,440
Proper Divisor Sum 12,465,088
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9724349 ← → #9724411

Radix Representation

Decimal 9724352
Binary 100101000110000111000000 (24 bits)
Octal 0o45060700
Hexadecimal 0x9461C0

Divisor Catalog (56)

1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 727 836 1,216 1,454 1,672 2,908 3,344 5,816 6,688 7,997 11,632 13,376 13,813 15,994 23,264 27,626 31,988 46,528 55,252 63,976 110,504 127,952 151,943 221,008 255,904 303,886 442,016 511,808 607,772 884,032 1,215,544 2,431,088 4,862,176 9,724,352

Collatz Trajectory (114 steps to reach 1)

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

9,724,352 4,862,176 2,431,088 1,215,544 607,772 303,886 151,943 455,830 227,915 683,746 341,873 1,025,620 512,810 256,405 769,216 384,608 192,304 96,152 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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