λ
Ratio Atlas

97,534,367

7 × 41 × 339841
Deficient Odd Composite

97,534,367 factors as 7 × 41 × 339841. Its 8 positive divisors give a proper-divisor sum of 16,652,545, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 7 × 41 × 339841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 114,186,912
Proper Divisor Sum 16,652,545
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #97534361 ← → #97534369

Radix Representation

Decimal 97534367
Binary 101110100000100000110011111 (27 bits)
Octal 0o564040637
Hexadecimal 0x5D0419F

Divisor Catalog (8)

Collatz Trajectory (244 steps to reach 1)

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

97,534,367 292,603,102 146,301,551 438,904,654 219,452,327 658,356,982 329,178,491 987,535,474 493,767,737 1,481,303,212 740,651,606 370,325,803 1,110,977,410 555,488,705 1,666,466,116 833,233,058 416,616,529 1,249,849,588 624,924,794 312,462,397 937,387,192 468,693,596 234,346,798 117,173,399 351,520,198 175,760,099 527,280,298 263,640,149 790,920,448 395,460,224 197,730,112 98,865,056 49,432,528 24,716,264 12,358,132 6,179,066 3,089,533 9,268,600 4,634,300 2,317,150 1,158,575 3,475,726 1,737,863 5,213,590 2,606,795 7,820,386 3,910,193 11,730,580 5,865,290 2,932,645 8,797,936 4,398,968 2,199,484 1,099,742 549,871 1,649,614 824,807 2,474,422 1,237,211 3,711,634

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