λ
Harmonic Matrix

867,369

3 × 19 × 15217
Deficient Odd Composite

867,369 has digital root 3. The neighboring primes are 867343 and 867371; its proper-divisor sum differs from the starting integer by -517,298.

Prime Factor Structure

Factorization String 3 × 19 × 15217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,217,440
Proper Divisor Sum 350,071
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #867343 ← → #867371

Radix Representation

Decimal 867369
Binary 11010011110000101001 (20 bits)
Octal 0o3236051
Hexadecimal 0xD3C29

Divisor Catalog (8)

1 3 19 57 15,217 45,651 289,123 867,369

Collatz Trajectory (188 steps to reach 1)

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

867,369 2,602,108 1,301,054 650,527 1,951,582 975,791 2,927,374 1,463,687 4,391,062 2,195,531 6,586,594 3,293,297 9,879,892 4,939,946 2,469,973 7,409,920 3,704,960 1,852,480 926,240 463,120 231,560 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

More profiles

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