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Atlas › Integer Profiles › Node 4,075,136

4,075,136

27 × 13 × 31 × 79
Abundant Even Composite

4,075,136 factors as 2^7 × 13 × 31 × 79. Its 64 positive divisors give a proper-divisor sum of 5,064,064, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 31 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,139,200
Proper Divisor Sum 5,064,064
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4075133 ← → #4075147

Radix Representation

Decimal 4075136
Binary 1111100010111010000000 (22 bits)
Octal 0o17427200
Hexadecimal 0x3E2E80

Divisor Catalog (60 of 64)

1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 208 248 316 403 416 496 632 806 832 992 1,027 1,264 1,612 1,664 1,984 2,054 2,449 2,528 3,224 3,968 4,108 4,898 5,056 6,448 8,216 9,796 10,112 12,896 16,432 19,592 25,792 31,837 32,864 39,184 51,584 63,674 65,728 78,368 127,348 131,456 156,736 254,696 313,472

Collatz Trajectory (105 steps to reach 1)

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

4,075,136 2,037,568 1,018,784 509,392 254,696 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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