λ
Harmonic Matrix

1,835,431

13 × 59 × 2393
Deficient Odd Composite

1,835,431 has digital root 7. The neighboring primes are 1835413 and 1835453; its proper-divisor sum differs from the starting integer by -1,659,902.

Prime Factor Structure

Factorization String 13 × 59 × 2393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,010,960
Proper Divisor Sum 175,529
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1835413 ← → #1835453

Radix Representation

Decimal 1835431
Binary 111000000000110100111 (21 bits)
Octal 0o7000647
Hexadecimal 0x1C01A7

Divisor Catalog (8)

1 13 59 767 2,393 31,109 141,187 1,835,431

Collatz Trajectory (109 steps to reach 1)

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

1,835,431 5,506,294 2,753,147 8,259,442 4,129,721 12,389,164 6,194,582 3,097,291 9,291,874 4,645,937 13,937,812 6,968,906 3,484,453 10,453,360 5,226,680 2,613,340 1,306,670 653,335 1,960,006 980,003 2,940,010 1,470,005 4,410,016 2,205,008 1,102,504 551,252 275,626 137,813 413,440 206,720 103,360 51,680 25,840 12,920 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662

More profiles

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