λ
Harmonic Matrix

587,048

23 × 7 × 11 × 953
Abundant Even Composite

587,048 has digital root 5. The neighboring primes are 587033 and 587051; its proper-divisor sum differs from the starting integer by 199,664.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,373,760
Proper Divisor Sum 786,712
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #587033 ← → #587051

Radix Representation

Decimal 587048
Binary 10001111010100101000 (20 bits)
Octal 0o2172450
Hexadecimal 0x8F528

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 953 1,906 3,812 6,671 7,624 10,483 13,342 20,966 26,684 41,932 53,368 73,381 83,864 146,762 293,524 587,048

Collatz Trajectory (128 steps to reach 1)

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

587,048 293,524 146,762 73,381 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946 357,473 1,072,420 536,210 268,105 804,316

More profiles

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