97,803,167

7² × 11 × 29 × 6257

97,803,167 factors as 7^2 × 11 × 29 × 6257. Its 24 positive divisors give a proper-divisor sum of 30,610,993, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 29 × 6257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 128,414,160

Proper Divisor Sum 30,610,993

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #97803161 ← → #97803217

Radix Representation

Decimal	97803167
Binary	101110101000101101110011111 (27 bits)
Octal	0o565055637
Hexadecimal	0x5D45B9F

Divisor Catalog (24)

Collatz Trajectory (112 steps to reach 1)

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

97,803,167 293,409,502 146,704,751 440,114,254 220,057,127 660,171,382 330,085,691 990,257,074 495,128,537 1,485,385,612 742,692,806 371,346,403 1,114,039,210 557,019,605 1,671,058,816 835,529,408 417,764,704 208,882,352 104,441,176 52,220,588 26,110,294 13,055,147 39,165,442 19,582,721 58,748,164 29,374,082 14,687,041 44,061,124 22,030,562 11,015,281 33,045,844 16,522,922 8,261,461 24,784,384 12,392,192 6,196,096 3,098,048 1,549,024 774,512 387,256 193,628 96,814 48,407 145,222 72,611 217,834 108,917 326,752 163,376 81,688 40,844 20,422 10,211 30,634 15,317 45,952 22,976 11,488 5,744 2,872

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