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Atlas › Integer Profiles › Node 23,922,210

23,922,210

2 × 3 × 5 × 13 × 61339
Abundant Even Composite

23,922,210 factors as 2 × 3 × 5 × 13 × 61339. Its 32 positive divisors give a proper-divisor sum of 37,908,510, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 61339
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,830,720
Proper Divisor Sum 37,908,510
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #23922209 ← → #23922211

Radix Representation

Decimal 23922210
Binary 1011011010000011000100010 (25 bits)
Octal 0o133203042
Hexadecimal 0x16D0622

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 61,339 122,678 184,017 306,695 368,034 613,390 797,407 920,085 1,594,814 1,840,170 2,392,221 3,987,035 4,784,442 7,974,070 11,961,105 23,922,210

Collatz Trajectory (115 steps to reach 1)

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

23,922,210 11,961,105 35,883,316 17,941,658 8,970,829 26,912,488 13,456,244 6,728,122 3,364,061 10,092,184 5,046,092 2,523,046 1,261,523 3,784,570 1,892,285 5,676,856 2,838,428 1,419,214 709,607 2,128,822 1,064,411 3,193,234 1,596,617 4,789,852 2,394,926 1,197,463 3,592,390 1,796,195 5,388,586 2,694,293 8,082,880 4,041,440 2,020,720 1,010,360 505,180 252,590 126,295 378,886 189,443 568,330 284,165 852,496 426,248 213,124 106,562 53,281 159,844 79,922 39,961 119,884 59,942 29,971 89,914 44,957 134,872 67,436 33,718 16,859 50,578 25,289

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