λ
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5,458,488

23 × 3 × 7 × 32491
Abundant Even Composite

5,458,488 factors as 2^3 × 3 × 7 × 32491. Its 32 positive divisors give a proper-divisor sum of 10,137,672, so this integer is abundant. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 32491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,596,160
Proper Divisor Sum 10,137,672
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5458487 ← → #5458489

Radix Representation

Decimal 5458488
Binary 10100110100101000111000 (23 bits)
Octal 0o24645070
Hexadecimal 0x534A38

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 32,491 64,982 97,473 129,964 194,946 227,437 259,928 389,892 454,874 682,311 779,784 909,748 1,364,622 1,819,496 2,729,244 5,458,488

Collatz Trajectory (294 steps to reach 1)

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

5,458,488 2,729,244 1,364,622 682,311 2,046,934 1,023,467 3,070,402 1,535,201 4,605,604 2,302,802 1,151,401 3,454,204 1,727,102 863,551 2,590,654 1,295,327 3,885,982 1,942,991 5,828,974 2,914,487 8,743,462 4,371,731 13,115,194 6,557,597 19,672,792 9,836,396 4,918,198 2,459,099 7,377,298 3,688,649 11,065,948 5,532,974 2,766,487 8,299,462 4,149,731 12,449,194 6,224,597 18,673,792 9,336,896 4,668,448 2,334,224 1,167,112 583,556 291,778 145,889 437,668 218,834 109,417 328,252 164,126 82,063 246,190 123,095 369,286 184,643 553,930 276,965 830,896 415,448 207,724

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