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Atlas › Integer Profiles › Node 11,169,256

11,169,256

23 × 72 × 28493
Abundant Even Composite

11,169,256 factors as 2^3 × 7^2 × 28493. Its 24 positive divisors give a proper-divisor sum of 13,193,114, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 28493
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,362,370
Proper Divisor Sum 13,193,114
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11169253 ← → #11169307

Radix Representation

Decimal 11169256
Binary 101010100110110111101000 (24 bits)
Octal 0o52466750
Hexadecimal 0xAA6DE8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 28,493 56,986 113,972 199,451 227,944 398,902 797,804 1,396,157 1,595,608 2,792,314 5,584,628 11,169,256

Collatz Trajectory (140 steps to reach 1)

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

11,169,256 5,584,628 2,792,314 1,396,157 4,188,472 2,094,236 1,047,118 523,559 1,570,678 785,339 2,356,018 1,178,009 3,534,028 1,767,014 883,507 2,650,522 1,325,261 3,975,784 1,987,892 993,946 496,973 1,490,920 745,460 372,730 186,365 559,096 279,548 139,774 69,887 209,662 104,831 314,494 157,247 471,742 235,871 707,614 353,807 1,061,422 530,711 1,592,134 796,067 2,388,202 1,194,101 3,582,304 1,791,152 895,576 447,788 223,894 111,947 335,842 167,921 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614 11,807

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