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Atlas › Integer Profiles › Node 36,913,827

36,913,827

3 × 19 × 23 × 37 × 761
Deficient Odd Composite

36,913,827 factors as 3 × 19 × 23 × 37 × 761. Its 32 positive divisors give a proper-divisor sum of 18,681,693, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 19 × 23 × 37 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,595,520
Proper Divisor Sum 18,681,693
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36913801 ← → #36913829

Radix Representation

Decimal 36913827
Binary 10001100110100001010100011 (26 bits)
Octal 0o214641243
Hexadecimal 0x23342A3

Divisor Catalog (32)

1 3 19 23 37 57 69 111 437 703 761 851 1,311 2,109 2,283 2,553 14,459 16,169 17,503 28,157 43,377 48,507 52,509 84,471 332,557 534,983 647,611 997,671 1,604,949 1,942,833 12,304,609 36,913,827

Collatz Trajectory (103 steps to reach 1)

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

36,913,827 110,741,482 55,370,741 166,112,224 83,056,112 41,528,056 20,764,028 10,382,014 5,191,007 15,573,022 7,786,511 23,359,534 11,679,767 35,039,302 17,519,651 52,558,954 26,279,477 78,838,432 39,419,216 19,709,608 9,854,804 4,927,402 2,463,701 7,391,104 3,695,552 1,847,776 923,888 461,944 230,972 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084

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