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Atlas › Integer Profiles › Node 10,470,856

10,470,856

23 × 112 × 29 × 373
Abundant Even Composite

10,470,856 factors as 2^3 × 11^2 × 29 × 373. Its 48 positive divisors give a proper-divisor sum of 11,913,044, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 29 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,383,900
Proper Divisor Sum 11,913,044
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10470853 ← → #10470857

Radix Representation

Decimal 10470856
Binary 100111111100010111001000 (24 bits)
Octal 0o47742710
Hexadecimal 0x9FC5C8

Divisor Catalog (48)

1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 373 484 638 746 968 1,276 1,492 2,552 2,984 3,509 4,103 7,018 8,206 10,817 14,036 16,412 21,634 28,072 32,824 43,268 45,133 86,536 90,266 118,987 180,532 237,974 361,064 475,948 951,896 1,308,857 2,617,714 5,235,428 10,470,856

Collatz Trajectory (202 steps to reach 1)

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

10,470,856 5,235,428 2,617,714 1,308,857 3,926,572 1,963,286 981,643 2,944,930 1,472,465 4,417,396 2,208,698 1,104,349 3,313,048 1,656,524 828,262 414,131 1,242,394 621,197 1,863,592 931,796 465,898 232,949 698,848 349,424 174,712 87,356 43,678 21,839 65,518 32,759 98,278 49,139 147,418 73,709 221,128 110,564 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518

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