97,001,032

2³ × 12125129

97,001,032 factors as 2^3 × 12125129. Its 8 positive divisors give a proper-divisor sum of 84,875,918, so this integer is deficient. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 2^3 × 12125129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 181,876,950

Proper Divisor Sum 84,875,918

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #97001017 ← → #97001033

Radix Representation

Decimal	97001032
Binary	101110010000001111001001000 (27 bits)
Octal	0o562017110
Hexadecimal	0x5C81E48

Divisor Catalog (8)

1 2 4 8 12,125,129 24,250,258 48,500,516 97,001,032

Collatz Trajectory (293 steps to reach 1)

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

97,001,032 48,500,516 24,250,258 12,125,129 36,375,388 18,187,694 9,093,847 27,281,542 13,640,771 40,922,314 20,461,157 61,383,472 30,691,736 15,345,868 7,672,934 3,836,467 11,509,402 5,754,701 17,264,104 8,632,052 4,316,026 2,158,013 6,474,040 3,237,020 1,618,510 809,255 2,427,766 1,213,883 3,641,650 1,820,825 5,462,476 2,731,238 1,365,619 4,096,858 2,048,429 6,145,288 3,072,644 1,536,322 768,161 2,304,484 1,152,242 576,121 1,728,364 864,182 432,091 1,296,274 648,137 1,944,412 972,206 486,103 1,458,310 729,155 2,187,466 1,093,733 3,281,200 1,640,600 820,300 410,150 205,075 615,226

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #97,001,031 Browse Full Index Next Integer #97,001,033 →