λ
Ratio Atlas

97,097,167

97097167
Deficient Odd Prime

97,097,167 factors as 97097167. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 97097167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 97,097,168
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #97097153 ← → #97097197

Radix Representation

Decimal 97097167
Binary 101110010011001010111001111 (27 bits)
Octal 0o562312717
Hexadecimal 0x5C995CF

Divisor Catalog (2)

Collatz Trajectory (223 steps to reach 1)

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

97,097,167 291,291,502 145,645,751 436,937,254 218,468,627 655,405,882 327,702,941 983,108,824 491,554,412 245,777,206 122,888,603 368,665,810 184,332,905 552,998,716 276,499,358 138,249,679 414,749,038 207,374,519 622,123,558 311,061,779 933,185,338 466,592,669 1,399,778,008 699,889,004 349,944,502 174,972,251 524,916,754 262,458,377 787,375,132 393,687,566 196,843,783 590,531,350 295,265,675 885,797,026 442,898,513 1,328,695,540 664,347,770 332,173,885 996,521,656 498,260,828 249,130,414 124,565,207 373,695,622 186,847,811 560,543,434 280,271,717 840,815,152 420,407,576 210,203,788 105,101,894 52,550,947 157,652,842 78,826,421 236,479,264 118,239,632 59,119,816 29,559,908 14,779,954 7,389,977 22,169,932

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