λ
Harmonic Matrix

1,733,646

2 × 3 × 113 × 2557
Abundant Even Composite

1,733,646 has digital root 3. The neighboring primes are 1733639 and 1733647; its proper-divisor sum differs from the starting integer by 32,052.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 2557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,499,344
Proper Divisor Sum 1,765,698
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1733639 ← → #1733647

Radix Representation

Decimal 1733646
Binary 110100111010000001110 (21 bits)
Octal 0o6472016
Hexadecimal 0x1A740E

Divisor Catalog (16)

1 2 3 6 113 226 339 678 2,557 5,114 7,671 15,342 288,941 577,882 866,823 1,733,646

Collatz Trajectory (70 steps to reach 1)

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

1,733,646 866,823 2,600,470 1,300,235 3,900,706 1,950,353 5,851,060 2,925,530 1,462,765 4,388,296 2,194,148 1,097,074 548,537 1,645,612 822,806 411,403 1,234,210 617,105 1,851,316 925,658 462,829 1,388,488 694,244 347,122 173,561 520,684 260,342 130,171 390,514 195,257 585,772 292,886 146,443 439,330 219,665 658,996 329,498 164,749 494,248 247,124 123,562 61,781 185,344 92,672 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52

More profiles

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