97,095,401

13² × 574529

97,095,401 factors as 13^2 × 574529. Its 6 positive divisors give a proper-divisor sum of 8,043,589, so this integer is deficient. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 13^2 × 574529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 105,138,990

Proper Divisor Sum 8,043,589

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #97095343 ← → #97095433

Radix Representation

Decimal	97095401
Binary	101110010011000111011101001 (27 bits)
Octal	0o562307351
Hexadecimal	0x5C98EE9

Divisor Catalog (6)

1 13 169 574,529 7,468,877 97,095,401

Collatz Trajectory (262 steps to reach 1)

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

97,095,401 291,286,204 145,643,102 72,821,551 218,464,654 109,232,327 327,696,982 163,848,491 491,545,474 245,772,737 737,318,212 368,659,106 184,329,553 552,988,660 276,494,330 138,247,165 414,741,496 207,370,748 103,685,374 51,842,687 155,528,062 77,764,031 233,292,094 116,646,047 349,938,142 174,969,071 524,907,214 262,453,607 787,360,822 393,680,411 1,181,041,234 590,520,617 1,771,561,852 885,780,926 442,890,463 1,328,671,390 664,335,695 1,993,007,086 996,503,543 2,989,510,630 1,494,755,315 4,484,265,946 2,242,132,973 6,726,398,920 3,363,199,460 1,681,599,730 840,799,865 2,522,399,596 1,261,199,798 630,599,899 1,891,799,698 945,899,849 2,837,699,548 1,418,849,774 709,424,887 2,128,274,662 1,064,137,331 3,192,411,994 1,596,205,997 4,788,617,992

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