λ
Prime Ledger

623,448

23 × 32 × 7 × 1237
Abundant Even Composite

623,448 has the prime decomposition 2^3 × 3^2 × 7 × 1237. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,931,280
Proper Divisor Sum 1,307,832
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #623437 ← → #623477

Radix Representation

Decimal 623448
Binary 10011000001101011000 (20 bits)
Octal 0o2301530
Hexadecimal 0x98358

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1,237 2,474 3,711 4,948 7,422 8,659 9,896 11,133 14,844 17,318 22,266 25,977 29,688 34,636 44,532 51,954 69,272 77,931 89,064 103,908 155,862 207,816 311,724 623,448

Collatz Trajectory (172 steps to reach 1)

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

623,448 311,724 155,862 77,931 233,794 116,897 350,692 175,346 87,673 263,020 131,510 65,755 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110

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