λ
Harmonic Matrix

1,726,904

23 × 215863
Deficient Even Composite

1,726,904 has digital root 2. The neighboring primes are 1726903 and 1726913; its proper-divisor sum differs from the starting integer by -215,848.

Prime Factor Structure

Factorization String 2^3 × 215863
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,237,960
Proper Divisor Sum 1,511,056
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1726903 ← → #1726913

Radix Representation

Decimal 1726904
Binary 110100101100110111000 (21 bits)
Octal 0o6454670
Hexadecimal 0x1A59B8

Divisor Catalog (8)

1 2 4 8 215,863 431,726 863,452 1,726,904

Collatz Trajectory (96 steps to reach 1)

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

1,726,904 863,452 431,726 215,863 647,590 323,795 971,386 485,693 1,457,080 728,540 364,270 182,135 546,406 273,203 819,610 409,805 1,229,416 614,708 307,354 153,677 461,032 230,516 115,258 57,629 172,888 86,444 43,222 21,611 64,834 32,417 97,252 48,626 24,313 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305

More profiles

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