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Atlas › Integer Profiles › Node 11,039,728

11,039,728

24 × 7 × 241 × 409
Abundant Even Composite

11,039,728 factors as 2^4 × 7 × 241 × 409. Its 40 positive divisors give a proper-divisor sum of 13,566,832, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 241 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,606,560
Proper Divisor Sum 13,566,832
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11039711 ← → #11039737

Radix Representation

Decimal 11039728
Binary 101010000111001111110000 (24 bits)
Octal 0o52071760
Hexadecimal 0xA873F0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 241 409 482 818 964 1,636 1,687 1,928 2,863 3,272 3,374 3,856 5,726 6,544 6,748 11,452 13,496 22,904 26,992 45,808 98,569 197,138 394,276 689,983 788,552 1,379,966 1,577,104 2,759,932 5,519,864 11,039,728

Collatz Trajectory (140 steps to reach 1)

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

11,039,728 5,519,864 2,759,932 1,379,966 689,983 2,069,950 1,034,975 3,104,926 1,552,463 4,657,390 2,328,695 6,986,086 3,493,043 10,479,130 5,239,565 15,718,696 7,859,348 3,929,674 1,964,837 5,894,512 2,947,256 1,473,628 736,814 368,407 1,105,222 552,611 1,657,834 828,917 2,486,752 1,243,376 621,688 310,844 155,422 77,711 233,134 116,567 349,702 174,851 524,554 262,277 786,832 393,416 196,708 98,354 49,177 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024

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