λ
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Atlas › Integer Profiles › Node 36,857,536

36,857,536

26 × 43 × 59 × 227
Abundant Even Composite

36,857,536 factors as 2^6 × 43 × 59 × 227. Its 56 positive divisors give a proper-divisor sum of 39,586,304, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 59 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 76,443,840
Proper Divisor Sum 39,586,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36857533 ← → #36857563

Radix Representation

Decimal 36857536
Binary 10001100100110011011000000 (26 bits)
Octal 0o214463300
Hexadecimal 0x23266C0

Divisor Catalog (56)

1 2 4 8 16 32 43 59 64 86 118 172 227 236 344 454 472 688 908 944 1,376 1,816 1,888 2,537 2,752 3,632 3,776 5,074 7,264 9,761 10,148 13,393 14,528 19,522 20,296 26,786 39,044 40,592 53,572 78,088 81,184 107,144 156,176 162,368 214,288 312,352 428,576 575,899 624,704 857,152 1,151,798 2,303,596 4,607,192 9,214,384 18,428,768 36,857,536

Collatz Trajectory (108 steps to reach 1)

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

36,857,536 18,428,768 9,214,384 4,607,192 2,303,596 1,151,798 575,899 1,727,698 863,849 2,591,548 1,295,774 647,887 1,943,662 971,831 2,915,494 1,457,747 4,373,242 2,186,621 6,559,864 3,279,932 1,639,966 819,983 2,459,950 1,229,975 3,689,926 1,844,963 5,534,890 2,767,445 8,302,336 4,151,168 2,075,584 1,037,792 518,896 259,448 129,724 64,862 32,431 97,294 48,647 145,942 72,971 218,914 109,457 328,372 164,186 82,093 246,280 123,140 61,570 30,785 92,356 46,178 23,089 69,268 34,634 17,317 51,952 25,976 12,988 6,494

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