λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,936,537

36,936,537

3 × 11 × 59 × 61 × 311
Deficient Odd Composite

36,936,537 factors as 3 × 11 × 59 × 61 × 311. Its 32 positive divisors give a proper-divisor sum of 18,774,183, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3 × 11 × 59 × 61 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,710,720
Proper Divisor Sum 18,774,183
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36936491 ← → #36936539

Radix Representation

Decimal 36936537
Binary 10001100111001101101011001 (26 bits)
Octal 0o214715531
Hexadecimal 0x2339B59

Divisor Catalog (32)

1 3 11 33 59 61 177 183 311 649 671 933 1,947 2,013 3,421 3,599 10,263 10,797 18,349 18,971 39,589 55,047 56,913 118,767 201,839 208,681 605,517 626,043 1,119,289 3,357,867 12,312,179 36,936,537

Collatz Trajectory (108 steps to reach 1)

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

36,936,537 110,809,612 55,404,806 27,702,403 83,107,210 41,553,605 124,660,816 62,330,408 31,165,204 15,582,602 7,791,301 23,373,904 11,686,952 5,843,476 2,921,738 1,460,869 4,382,608 2,191,304 1,095,652 547,826 273,913 821,740 410,870 205,435 616,306 308,153 924,460 462,230 231,115 693,346 346,673 1,040,020 520,010 260,005 780,016 390,008 195,004 97,502 48,751 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,936,536 Browse Full Index Next Integer #36,936,538 →