λ
Harmonic Matrix

1,596,642

2 × 3 × 281 × 947
Abundant Even Composite

1,596,642 has digital root 6. The neighboring primes are 1596641 and 1596649; its proper-divisor sum differs from the starting integer by 14,748.

Prime Factor Structure

Factorization String 2 × 3 × 281 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,208,032
Proper Divisor Sum 1,611,390
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1596641 ← → #1596649

Radix Representation

Decimal 1596642
Binary 110000101110011100010 (21 bits)
Octal 0o6056342
Hexadecimal 0x185CE2

Divisor Catalog (16)

1 2 3 6 281 562 843 947 1,686 1,894 2,841 5,682 266,107 532,214 798,321 1,596,642

Collatz Trajectory (207 steps to reach 1)

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

1,596,642 798,321 2,394,964 1,197,482 598,741 1,796,224 898,112 449,056 224,528 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

More profiles

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