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Atlas › Integer Profiles › Node 3,702,256

3,702,256

24 × 29 × 79 × 101
Abundant Even Composite

3,702,256 factors as 2^4 × 29 × 79 × 101. Its 40 positive divisors give a proper-divisor sum of 3,886,544, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 79 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,588,800
Proper Divisor Sum 3,886,544
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3702233 ← → #3702263

Radix Representation

Decimal 3702256
Binary 1110000111110111110000 (22 bits)
Octal 0o16076760
Hexadecimal 0x387DF0

Divisor Catalog (40)

1 2 4 8 16 29 58 79 101 116 158 202 232 316 404 464 632 808 1,264 1,616 2,291 2,929 4,582 5,858 7,979 9,164 11,716 15,958 18,328 23,432 31,916 36,656 46,864 63,832 127,664 231,391 462,782 925,564 1,851,128 3,702,256

Collatz Trajectory (203 steps to reach 1)

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

3,702,256 1,851,128 925,564 462,782 231,391 694,174 347,087 1,041,262 520,631 1,561,894 780,947 2,342,842 1,171,421 3,514,264 1,757,132 878,566 439,283 1,317,850 658,925 1,976,776 988,388 494,194 247,097 741,292 370,646 185,323 555,970 277,985 833,956 416,978 208,489 625,468 312,734 156,367 469,102 234,551 703,654 351,827 1,055,482 527,741 1,583,224 791,612 395,806 197,903 593,710 296,855 890,566 445,283 1,335,850 667,925 2,003,776 1,001,888 500,944 250,472 125,236 62,618 31,309 93,928 46,964 23,482

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