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Atlas › Integer Profiles › Node 2,321,352

2,321,352

23 × 33 × 11 × 977
Abundant Even Composite

2,321,352 factors as 2^3 × 3^3 × 11 × 977. Its 64 positive divisors give a proper-divisor sum of 4,720,248, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,041,600
Proper Divisor Sum 4,720,248
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2321339 ← → #2321353

Radix Representation

Decimal 2321352
Binary 1000110110101111001000 (22 bits)
Octal 0o10665710
Hexadecimal 0x236BC8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 977 1,188 1,954 2,376 2,931 3,908 5,862 7,816 8,793 10,747 11,724 17,586 21,494 23,448 26,379 32,241 35,172 42,988 52,758 64,482 70,344 85,976 96,723 105,516 128,964 193,446 211,032 257,928 290,169 386,892

Collatz Trajectory (161 steps to reach 1)

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

2,321,352 1,160,676 580,338 290,169 870,508 435,254 217,627 652,882 326,441 979,324 489,662 244,831 734,494 367,247 1,101,742 550,871 1,652,614 826,307 2,478,922 1,239,461 3,718,384 1,859,192 929,596 464,798 232,399 697,198 348,599 1,045,798 522,899 1,568,698 784,349 2,353,048 1,176,524 588,262 294,131 882,394 441,197 1,323,592 661,796 330,898 165,449 496,348 248,174 124,087 372,262 186,131 558,394 279,197 837,592 418,796 209,398 104,699 314,098 157,049 471,148 235,574 117,787 353,362 176,681 530,044

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