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Atlas › Integer Profiles › Node 23,379,920

23,379,920

24 × 5 × 292249
Abundant Even Composite

23,379,920 factors as 2^4 × 5 × 292249. Its 20 positive divisors give a proper-divisor sum of 30,978,580, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 292249
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 54,358,500
Proper Divisor Sum 30,978,580
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #23379857 ← → #23379931

Radix Representation

Decimal 23379920
Binary 1011001001011111111010000 (25 bits)
Octal 0o131137720
Hexadecimal 0x164BFD0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 292,249 584,498 1,168,996 1,461,245 2,337,992 2,922,490 4,675,984 5,844,980 11,689,960 23,379,920

Collatz Trajectory (154 steps to reach 1)

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

23,379,920 11,689,960 5,844,980 2,922,490 1,461,245 4,383,736 2,191,868 1,095,934 547,967 1,643,902 821,951 2,465,854 1,232,927 3,698,782 1,849,391 5,548,174 2,774,087 8,322,262 4,161,131 12,483,394 6,241,697 18,725,092 9,362,546 4,681,273 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777 6,665,332 3,332,666 1,666,333 4,999,000 2,499,500 1,249,750 624,875 1,874,626 937,313 2,811,940 1,405,970 702,985 2,108,956 1,054,478 527,239 1,581,718 790,859 2,372,578 1,186,289 3,558,868 1,779,434 889,717

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