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Atlas › Integer Profiles › Node 97,474,338

97,474,338

2 × 32 × 13 × 71 × 5867
Abundant Even Composite

97,474,338 factors as 2 × 3^2 × 13 × 71 × 5867. Its 48 positive divisors give a proper-divisor sum of 133,208,478, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 71 × 5867
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 230,682,816
Proper Divisor Sum 133,208,478
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #97474327 ← → #97474339

Radix Representation

Decimal 97474338
Binary 101110011110101011100100010 (27 bits)
Octal 0o563653442
Hexadecimal 0x5CF5722

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1,278 1,846 2,769 5,538 5,867 8,307 11,734 16,614 17,601 35,202 52,803 76,271 105,606 152,542 228,813 416,557 457,626 686,439 833,114 1,249,671 1,372,878 2,499,342 3,749,013 5,415,241 7,498,026 10,830,482 16,245,723 32,491,446 48,737,169 97,474,338

Collatz Trajectory (200 steps to reach 1)

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

97,474,338 48,737,169 146,211,508 73,105,754 36,552,877 109,658,632 54,829,316 27,414,658 13,707,329 41,121,988 20,560,994 10,280,497 30,841,492 15,420,746 7,710,373 23,131,120 11,565,560 5,782,780 2,891,390 1,445,695 4,337,086 2,168,543 6,505,630 3,252,815 9,758,446 4,879,223 14,637,670 7,318,835 21,956,506 10,978,253 32,934,760 16,467,380 8,233,690 4,116,845 12,350,536 6,175,268 3,087,634 1,543,817 4,631,452 2,315,726 1,157,863 3,473,590 1,736,795 5,210,386 2,605,193 7,815,580 3,907,790 1,953,895 5,861,686 2,930,843 8,792,530 4,396,265 13,188,796 6,594,398 3,297,199 9,891,598 4,945,799 14,837,398 7,418,699 22,256,098

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