λ
Harmonic Matrix

1,496,582

2 × 41 × 18251
Deficient Even Composite

1,496,582 has digital root 8. The neighboring primes are 1496581 and 1496597; its proper-divisor sum differs from the starting integer by -693,412.

Prime Factor Structure

Factorization String 2 × 41 × 18251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,299,752
Proper Divisor Sum 803,170
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1496581 ← → #1496597

Radix Representation

Decimal 1496582
Binary 101101101011000000110 (21 bits)
Octal 0o5553006
Hexadecimal 0x16D606

Divisor Catalog (8)

1 2 41 82 18,251 36,502 748,291 1,496,582

Collatz Trajectory (225 steps to reach 1)

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

1,496,582 748,291 2,244,874 1,122,437 3,367,312 1,683,656 841,828 420,914 210,457 631,372 315,686 157,843 473,530 236,765 710,296 355,148 177,574 88,787 266,362 133,181 399,544 199,772 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583

More profiles

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