λ
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Atlas › Integer Profiles › Node 76,166,290

76,166,290

2 × 5 × 17 × 179 × 2503
Deficient Even Composite

76,166,290 factors as 2 × 5 × 17 × 179 × 2503. Its 32 positive divisors give a proper-divisor sum of 69,866,990, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 179 × 2503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 146,033,280
Proper Divisor Sum 69,866,990
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #76166281 ← → #76166291

Radix Representation

Decimal 76166290
Binary 100100010100011010010010010 (27 bits)
Octal 0o442432222
Hexadecimal 0x48A3492

Divisor Catalog (32)

1 2 5 10 17 34 85 170 179 358 895 1,790 2,503 3,043 5,006 6,086 12,515 15,215 25,030 30,430 42,551 85,102 212,755 425,510 448,037 896,074 2,240,185 4,480,370 7,616,629 15,233,258 38,083,145 76,166,290

Collatz Trajectory (179 steps to reach 1)

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

76,166,290 38,083,145 114,249,436 57,124,718 28,562,359 85,687,078 42,843,539 128,530,618 64,265,309 192,795,928 96,397,964 48,198,982 24,099,491 72,298,474 36,149,237 108,447,712 54,223,856 27,111,928 13,555,964 6,777,982 3,388,991 10,166,974 5,083,487 15,250,462 7,625,231 22,875,694 11,437,847 34,313,542 17,156,771 51,470,314 25,735,157 77,205,472 38,602,736 19,301,368 9,650,684 4,825,342 2,412,671 7,238,014 3,619,007 10,857,022 5,428,511 16,285,534 8,142,767 24,428,302 12,214,151 36,642,454 18,321,227 54,963,682 27,481,841 82,445,524 41,222,762 20,611,381 61,834,144 30,917,072 15,458,536 7,729,268 3,864,634 1,932,317 5,796,952 2,898,476

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