3,910,972

2² × 13 × 75211

3,910,972 factors as 2^2 × 13 × 75211. Its 12 positive divisors give a proper-divisor sum of 3,459,804, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 75211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,370,776

Proper Divisor Sum 3,459,804

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3910967 ← → #3910981

Radix Representation

Decimal	3910972
Binary	1110111010110100111100 (22 bits)
Octal	0o16726474
Hexadecimal	0x3BAD3C

Divisor Catalog (12)

1 2 4 13 26 52 75,211 150,422 300,844 977,743 1,955,486 3,910,972

Collatz Trajectory (141 steps to reach 1)

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

3,910,972 1,955,486 977,743 2,933,230 1,466,615 4,399,846 2,199,923 6,599,770 3,299,885 9,899,656 4,949,828 2,474,914 1,237,457 3,712,372 1,856,186 928,093 2,784,280 1,392,140 696,070 348,035 1,044,106 522,053 1,566,160 783,080 391,540 195,770 97,885 293,656 146,828 73,414 36,707 110,122 55,061 165,184 82,592 41,296 20,648 10,324 5,162 2,581 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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