37,101,164

2² × 1949 × 4759

37,101,164 factors as 2^2 × 1949 × 4759. Its 12 positive divisors give a proper-divisor sum of 27,872,836, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 1949 × 4759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 64,974,000

Proper Divisor Sum 27,872,836

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #37101161 ← → #37101223

Radix Representation

Decimal	37101164
Binary	10001101100001111001101100 (26 bits)
Octal	0o215417154
Hexadecimal	0x2361E6C

Divisor Catalog (12)

1 2 4 1,949 3,898 4,759 7,796 9,518 19,036 9,275,291 18,550,582 37,101,164

Collatz Trajectory (165 steps to reach 1)

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

37,101,164 18,550,582 9,275,291 27,825,874 13,912,937 41,738,812 20,869,406 10,434,703 31,304,110 15,652,055 46,956,166 23,478,083 70,434,250 35,217,125 105,651,376 52,825,688 26,412,844 13,206,422 6,603,211 19,809,634 9,904,817 29,714,452 14,857,226 7,428,613 22,285,840 11,142,920 5,571,460 2,785,730 1,392,865 4,178,596 2,089,298 1,044,649 3,133,948 1,566,974 783,487 2,350,462 1,175,231 3,525,694 1,762,847 5,288,542 2,644,271 7,932,814 3,966,407 11,899,222 5,949,611 17,848,834 8,924,417 26,773,252 13,386,626 6,693,313 20,079,940 10,039,970 5,019,985 15,059,956 7,529,978 3,764,989 11,294,968 5,647,484 2,823,742 1,411,871

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