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Atlas › Integer Profiles › Node 22,831,720

22,831,720

23 × 5 × 457 × 1249
Abundant Even Composite

22,831,720 factors as 2^3 × 5 × 457 × 1249. Its 32 positive divisors give a proper-divisor sum of 28,693,280, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 457 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,525,000
Proper Divisor Sum 28,693,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #22831681 ← → #22831727

Radix Representation

Decimal 22831720
Binary 1010111000110001001101000 (25 bits)
Octal 0o127061150
Hexadecimal 0x15C6268

Divisor Catalog (32)

1 2 4 5 8 10 20 40 457 914 1,249 1,828 2,285 2,498 3,656 4,570 4,996 6,245 9,140 9,992 12,490 18,280 24,980 49,960 570,793 1,141,586 2,283,172 2,853,965 4,566,344 5,707,930 11,415,860 22,831,720

Collatz Trajectory (128 steps to reach 1)

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

22,831,720 11,415,860 5,707,930 2,853,965 8,561,896 4,280,948 2,140,474 1,070,237 3,210,712 1,605,356 802,678 401,339 1,204,018 602,009 1,806,028 903,014 451,507 1,354,522 677,261 2,031,784 1,015,892 507,946 253,973 761,920 380,960 190,480 95,240 47,620 23,810 11,905 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024

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