λ
Harmonic Matrix

723,571

17 × 31 × 1373
Deficient Odd Composite

723,571 has digital root 7. The neighboring primes are 723563 and 723587; its proper-divisor sum differs from the starting integer by -655,718.

Prime Factor Structure

Factorization String 17 × 31 × 1373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 791,424
Proper Divisor Sum 67,853
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #723563 ← → #723587

Radix Representation

Decimal 723571
Binary 10110000101001110011 (20 bits)
Octal 0o2605163
Hexadecimal 0xB0A73

Divisor Catalog (8)

1 17 31 527 1,373 23,341 42,563 723,571

Collatz Trajectory (66 steps to reach 1)

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

723,571 2,170,714 1,085,357 3,256,072 1,628,036 814,018 407,009 1,221,028 610,514 305,257 915,772 457,886 228,943 686,830 343,415 1,030,246 515,123 1,545,370 772,685 2,318,056 1,159,028 579,514 289,757 869,272 434,636 217,318 108,659 325,978 162,989 488,968 244,484 122,242 61,121 183,364 91,682 45,841 137,524 68,762 34,381 103,144 51,572 25,786 12,893 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128

More profiles

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