λ
Harmonic Matrix

804,207

3 × 268069
Deficient Odd Composite

804,207 has digital root 3. The neighboring primes are 804203 and 804211; its proper-divisor sum differs from the starting integer by -536,134.

Prime Factor Structure

Factorization String 3 × 268069
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,072,280
Proper Divisor Sum 268,073
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #804203 ← → #804211

Radix Representation

Decimal 804207
Binary 11000100010101101111 (20 bits)
Octal 0o3042557
Hexadecimal 0xC456F

Divisor Catalog (4)

1 3 268,069 804,207

Collatz Trajectory (144 steps to reach 1)

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

804,207 2,412,622 1,206,311 3,618,934 1,809,467 5,428,402 2,714,201 8,142,604 4,071,302 2,035,651 6,106,954 3,053,477 9,160,432 4,580,216 2,290,108 1,145,054 572,527 1,717,582 858,791 2,576,374 1,288,187 3,864,562 1,932,281 5,796,844 2,898,422 1,449,211 4,347,634 2,173,817 6,521,452 3,260,726 1,630,363 4,891,090 2,445,545 7,336,636 3,668,318 1,834,159 5,502,478 2,751,239 8,253,718 4,126,859 12,380,578 6,190,289 18,570,868 9,285,434 4,642,717 13,928,152 6,964,076 3,482,038 1,741,019 5,223,058 2,611,529 7,834,588 3,917,294 1,958,647 5,875,942 2,937,971 8,813,914 4,406,957 13,220,872 6,610,436

More profiles

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