λ
Harmonic Matrix

574,288

24 × 11 × 13 × 251
Abundant Even Composite

574,288 has digital root 7. The neighboring primes are 574283 and 574289; its proper-divisor sum differs from the starting integer by 163,840.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,312,416
Proper Divisor Sum 738,128
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #574283 ← → #574289

Radix Representation

Decimal 574288
Binary 10001100001101010000 (20 bits)
Octal 0o2141520
Hexadecimal 0x8C350

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 251 286 502 572 1,004 1,144 2,008 2,288 2,761 3,263 4,016 5,522 6,526 11,044 13,052 22,088 26,104 35,893 44,176 52,208 71,786 143,572 287,144 574,288

Collatz Trajectory (53 steps to reach 1)

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

574,288 287,144 143,572 71,786 35,893 107,680 53,840 26,920 13,460 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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