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Atlas › Integer Profiles › Node 23,496,172

23,496,172

22 × 7 × 53 × 71 × 223
Abundant Even Composite

23,496,172 factors as 2^2 × 7 × 53 × 71 × 223. Its 48 positive divisors give a proper-divisor sum of 25,274,900, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 53 × 71 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,771,072
Proper Divisor Sum 25,274,900
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23496169 ← → #23496173

Radix Representation

Decimal 23496172
Binary 1011001101000010111101100 (25 bits)
Octal 0o131502754
Hexadecimal 0x16685EC

Divisor Catalog (48)

1 2 4 7 14 28 53 71 106 142 212 223 284 371 446 497 742 892 994 1,484 1,561 1,988 3,122 3,763 6,244 7,526 11,819 15,052 15,833 23,638 26,341 31,666 47,276 52,682 63,332 82,733 105,364 110,831 165,466 221,662 330,932 443,324 839,149 1,678,298 3,356,596 5,874,043 11,748,086 23,496,172

Collatz Trajectory (216 steps to reach 1)

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

23,496,172 11,748,086 5,874,043 17,622,130 8,811,065 26,433,196 13,216,598 6,608,299 19,824,898 9,912,449 29,737,348 14,868,674 7,434,337 22,303,012 11,151,506 5,575,753 16,727,260 8,363,630 4,181,815 12,545,446 6,272,723 18,818,170 9,409,085 28,227,256 14,113,628 7,056,814 3,528,407 10,585,222 5,292,611 15,877,834 7,938,917 23,816,752 11,908,376 5,954,188 2,977,094 1,488,547 4,465,642 2,232,821 6,698,464 3,349,232 1,674,616 837,308 418,654 209,327 627,982 313,991 941,974 470,987 1,412,962 706,481 2,119,444 1,059,722 529,861 1,589,584 794,792 397,396 198,698 99,349 298,048 149,024

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