λ
Ratio Atlas

76,754,697

3 × 827 × 30937
Deficient Odd Composite

76,754,697 factors as 3 × 827 × 30937. Its 8 positive divisors give a proper-divisor sum of 25,711,959, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3 × 827 × 30937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 102,466,656
Proper Divisor Sum 25,711,959
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #76754669 ← → #76754707

Radix Representation

Decimal 76754697
Binary 100100100110010111100001001 (27 bits)
Octal 0o444627411
Hexadecimal 0x4932F09

Divisor Catalog (8)

Collatz Trajectory (148 steps to reach 1)

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

76,754,697 230,264,092 115,132,046 57,566,023 172,698,070 86,349,035 259,047,106 129,523,553 388,570,660 194,285,330 97,142,665 291,427,996 145,713,998 72,856,999 218,570,998 109,285,499 327,856,498 163,928,249 491,784,748 245,892,374 122,946,187 368,838,562 184,419,281 553,257,844 276,628,922 138,314,461 414,943,384 207,471,692 103,735,846 51,867,923 155,603,770 77,801,885 233,405,656 116,702,828 58,351,414 29,175,707 87,527,122 43,763,561 131,290,684 65,645,342 32,822,671 98,468,014 49,234,007 147,702,022 73,851,011 221,553,034 110,776,517 332,329,552 166,164,776 83,082,388 41,541,194 20,770,597 62,311,792 31,155,896 15,577,948 7,788,974 3,894,487 11,683,462 5,841,731 17,525,194

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