λ
Ratio Atlas

34,624,543

743 × 46601
Deficient Odd Composite

34,624,543 factors as 743 × 46601. Its 4 positive divisors give a proper-divisor sum of 47,345, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 743 × 46601
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 34,671,888
Proper Divisor Sum 47,345
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #34624531 ← → #34624561

Radix Representation

Decimal 34624543
Binary 10000100000101010000011111 (26 bits)
Octal 0o204052037
Hexadecimal 0x210541F

Divisor Catalog (4)

Collatz Trajectory (245 steps to reach 1)

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

34,624,543 103,873,630 51,936,815 155,810,446 77,905,223 233,715,670 116,857,835 350,573,506 175,286,753 525,860,260 262,930,130 131,465,065 394,395,196 197,197,598 98,598,799 295,796,398 147,898,199 443,694,598 221,847,299 665,541,898 332,770,949 998,312,848 499,156,424 249,578,212 124,789,106 62,394,553 187,183,660 93,591,830 46,795,915 140,387,746 70,193,873 210,581,620 105,290,810 52,645,405 157,936,216 78,968,108 39,484,054 19,742,027 59,226,082 29,613,041 88,839,124 44,419,562 22,209,781 66,629,344 33,314,672 16,657,336 8,328,668 4,164,334 2,082,167 6,246,502 3,123,251 9,369,754 4,684,877 14,054,632 7,027,316 3,513,658 1,756,829 5,270,488 2,635,244 1,317,622

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