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Atlas › Integer Profiles › Node 23,992,000

23,992,000

26 × 53 × 2999
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^3 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 59,436,000
Proper Divisor Sum 35,444,000
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23991983 ← → #23992009

Radix Representation

Decimal 23992000
Binary 1011011100001011011000000 (25 bits)
Octal 0o133413300
Hexadecimal 0x16E16C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1,000 1,600 2,000 2,999 4,000 5,998 8,000 11,996 14,995 23,992 29,990 47,984 59,980 74,975 95,968 119,960 149,950 191,936 239,920 299,900 374,875 479,840 599,800 749,750 959,680 1,199,600 1,499,500 2,399,200 2,999,000 4,798,400 5,998,000 11,996,000 23,992,000

Collatz Trajectory (291 steps to reach 1)

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

23,992,000 11,996,000 5,998,000 2,999,000 1,499,500 749,750 374,875 1,124,626 562,313 1,686,940 843,470 421,735 1,265,206 632,603 1,897,810 948,905 2,846,716 1,423,358 711,679 2,135,038 1,067,519 3,202,558 1,601,279 4,803,838 2,401,919 7,205,758 3,602,879 10,808,638 5,404,319 16,212,958 8,106,479 24,319,438 12,159,719 36,479,158 18,239,579 54,718,738 27,359,369 82,078,108 41,039,054 20,519,527 61,558,582 30,779,291 92,337,874 46,168,937 138,506,812 69,253,406 34,626,703 103,880,110 51,940,055 155,820,166 77,910,083 233,730,250 116,865,125 350,595,376 175,297,688 87,648,844 43,824,422 21,912,211 65,736,634 32,868,317

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