λ
Ratio Atlas

99,100,745

5 × 139 × 142591
Deficient Odd Composite

99,100,745 factors as 5 × 139 × 142591. Its 8 positive divisors give a proper-divisor sum of 20,676,535, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 5 × 139 × 142591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 119,777,280
Proper Divisor Sum 20,676,535
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #99100741 ← → #99100753

Radix Representation

Decimal 99100745
Binary 101111010000010100001001001 (27 bits)
Octal 0o572024111
Hexadecimal 0x5E82849

Divisor Catalog (8)

Collatz Trajectory (174 steps to reach 1)

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

99,100,745 297,302,236 148,651,118 74,325,559 222,976,678 111,488,339 334,465,018 167,232,509 501,697,528 250,848,764 125,424,382 62,712,191 188,136,574 94,068,287 282,204,862 141,102,431 423,307,294 211,653,647 634,960,942 317,480,471 952,441,414 476,220,707 1,428,662,122 714,331,061 2,142,993,184 1,071,496,592 535,748,296 267,874,148 133,937,074 66,968,537 200,905,612 100,452,806 50,226,403 150,679,210 75,339,605 226,018,816 113,009,408 56,504,704 28,252,352 14,126,176 7,063,088 3,531,544 1,765,772 882,886 441,443 1,324,330 662,165 1,986,496 993,248 496,624 248,312 124,156 62,078 31,039 93,118 46,559 139,678 69,839 209,518 104,759

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