λ
Ratio Atlas

61,554,742

2 × 229 × 134399
Deficient Even Composite

61,554,742 factors as 2 × 229 × 134399. Its 8 positive divisors give a proper-divisor sum of 31,181,258, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 229 × 134399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 92,736,000
Proper Divisor Sum 31,181,258
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61554721 ← → #61554749

Radix Representation

Decimal 61554742
Binary 11101010110100000000110110 (26 bits)
Octal 0o352640066
Hexadecimal 0x3AB4036

Divisor Catalog (8)

Collatz Trajectory (251 steps to reach 1)

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

61,554,742 30,777,371 92,332,114 46,166,057 138,498,172 69,249,086 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

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