λ
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10,074,978

2 × 32 × 19 × 89 × 331
Abundant Even Composite

10,074,978 factors as 2 × 3^2 × 19 × 89 × 331. Its 48 positive divisors give a proper-divisor sum of 13,231,422, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 89 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,306,400
Proper Divisor Sum 13,231,422
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10074947 ← → #10074983

Radix Representation

Decimal 10074978
Binary 100110011011101101100010 (24 bits)
Octal 0o46335542
Hexadecimal 0x99BB62

Divisor Catalog (48)

1 2 3 6 9 18 19 38 57 89 114 171 178 267 331 342 534 662 801 993 1,602 1,691 1,986 2,979 3,382 5,073 5,958 6,289 10,146 12,578 15,219 18,867 29,459 30,438 37,734 56,601 58,918 88,377 113,202 176,754 265,131 530,262 559,721 1,119,442 1,679,163 3,358,326 5,037,489 10,074,978

Collatz Trajectory (176 steps to reach 1)

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

10,074,978 5,037,489 15,112,468 7,556,234 3,778,117 11,334,352 5,667,176 2,833,588 1,416,794 708,397 2,125,192 1,062,596 531,298 265,649 796,948 398,474 199,237 597,712 298,856 149,428 74,714 37,357 112,072 56,036 28,018 14,009 42,028 21,014 10,507 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777

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