λ
Harmonic Matrix

1,522,571

17 × 89563
Deficient Odd Composite

1,522,571 has digital root 5. The neighboring primes are 1522553 and 1522579; its proper-divisor sum differs from the starting integer by -1,432,990.

Prime Factor Structure

Factorization String 17 × 89563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,612,152
Proper Divisor Sum 89,581
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1522553 ← → #1522579

Radix Representation

Decimal 1522571
Binary 101110011101110001011 (21 bits)
Octal 0o5635613
Hexadecimal 0x173B8B

Divisor Catalog (4)

1 17 89,563 1,522,571

Collatz Trajectory (225 steps to reach 1)

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

1,522,571 4,567,714 2,283,857 6,851,572 3,425,786 1,712,893 5,138,680 2,569,340 1,284,670 642,335 1,927,006 963,503 2,890,510 1,445,255 4,335,766 2,167,883 6,503,650 3,251,825 9,755,476 4,877,738 2,438,869 7,316,608 3,658,304 1,829,152 914,576 457,288 228,644 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659

More profiles

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