36,910,948

2² × 733 × 12589

36,910,948 factors as 2^2 × 733 × 12589. Its 12 positive divisors give a proper-divisor sum of 27,776,472, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 733 × 12589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 64,687,420

Proper Divisor Sum 27,776,472

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #36910919 ← → #36910957

Radix Representation

Decimal	36910948
Binary	10001100110011011101100100 (26 bits)
Octal	0o214633544
Hexadecimal	0x2333764

Divisor Catalog (12)

1 2 4 733 1,466 2,932 12,589 25,178 50,356 9,227,737 18,455,474 36,910,948

Collatz Trajectory (77 steps to reach 1)

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

36,910,948 18,455,474 9,227,737 27,683,212 13,841,606 6,920,803 20,762,410 10,381,205 31,143,616 15,571,808 7,785,904 3,892,952 1,946,476 973,238 486,619 1,459,858 729,929 2,189,788 1,094,894 547,447 1,642,342 821,171 2,463,514 1,231,757 3,695,272 1,847,636 923,818 461,909 1,385,728 692,864 346,432 173,216 86,608 43,304 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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