97,102,499

13² × 443 × 1297

97,102,499 factors as 13^2 × 443 × 1297. Its 12 positive divisors give a proper-divisor sum of 8,362,597, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 13^2 × 443 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 105,465,096

Proper Divisor Sum 8,362,597

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #97102477 ← → #97102501

Radix Representation

Decimal	97102499
Binary	101110010011010101010100011 (27 bits)
Octal	0o562325243
Hexadecimal	0x5C9AAA3

Divisor Catalog (12)

1 13 169 443 1,297 5,759 16,861 74,867 219,193 574,571 7,469,423 97,102,499

Collatz Trajectory (156 steps to reach 1)

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

97,102,499 291,307,498 145,653,749 436,961,248 218,480,624 109,240,312 54,620,156 27,310,078 13,655,039 40,965,118 20,482,559 61,447,678 30,723,839 92,171,518 46,085,759 138,257,278 69,128,639 207,385,918 103,692,959 311,078,878 155,539,439 466,618,318 233,309,159 699,927,478 349,963,739 1,049,891,218 524,945,609 1,574,836,828 787,418,414 393,709,207 1,181,127,622 590,563,811 1,771,691,434 885,845,717 2,657,537,152 1,328,768,576 664,384,288 332,192,144 166,096,072 83,048,036 41,524,018 20,762,009 62,286,028 31,143,014 15,571,507 46,714,522 23,357,261 70,071,784 35,035,892 17,517,946 8,758,973 26,276,920 13,138,460 6,569,230 3,284,615 9,853,846 4,926,923 14,780,770 7,390,385 22,171,156

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