λ
Harmonic Matrix

1,385,826

2 × 3 × 13 × 109 × 163
Abundant Even Composite

1,385,826 has digital root 6. The neighboring primes are 1385809 and 1385827; its proper-divisor sum differs from the starting integer by 259,068.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 109 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,030,720
Proper Divisor Sum 1,644,894
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1385809 ← → #1385827

Radix Representation

Decimal 1385826
Binary 101010010010101100010 (21 bits)
Octal 0o5222542
Hexadecimal 0x152562

Divisor Catalog (32)

1 2 3 6 13 26 39 78 109 163 218 326 327 489 654 978 1,417 2,119 2,834 4,238 4,251 6,357 8,502 12,714 17,767 35,534 53,301 106,602 230,971 461,942 692,913 1,385,826

Collatz Trajectory (186 steps to reach 1)

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

1,385,826 692,913 2,078,740 1,039,370 519,685 1,559,056 779,528 389,764 194,882 97,441 292,324 146,162 73,081 219,244 109,622 54,811 164,434 82,217 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321 210,964 105,482 52,741

More profiles

← Previous Integer #1,385,825 Browse Full Index Next Integer #1,385,827 →