λ
Harmonic Matrix

388,547

101 × 3847
Deficient Odd Composite

388,547 has digital root 8. The neighboring primes are 388541 and 388567; its proper-divisor sum differs from the starting integer by -384,598.

Prime Factor Structure

Factorization String 101 × 3847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 392,496
Proper Divisor Sum 3,949
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #388541 ← → #388567

Radix Representation

Decimal 388547
Binary 1011110110111000011 (19 bits)
Octal 0o1366703
Hexadecimal 0x5EDC3

Divisor Catalog (4)

1 101 3,847 388,547

Collatz Trajectory (99 steps to reach 1)

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

388,547 1,165,642 582,821 1,748,464 874,232 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315 186,946 93,473 280,420 140,210 70,105 210,316 105,158 52,579 157,738 78,869 236,608 118,304 59,152 29,576 14,788

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