λ
Harmonic Matrix

1,715,721

3 × 7 × 81701
Deficient Odd Composite

1,715,721 has digital root 6. The neighboring primes are 1715717 and 1715723; its proper-divisor sum differs from the starting integer by -816,978.

Prime Factor Structure

Factorization String 3 × 7 × 81701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,614,464
Proper Divisor Sum 898,743
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1715717 ← → #1715723

Radix Representation

Decimal 1715721
Binary 110100010111000001001 (21 bits)
Octal 0o6427011
Hexadecimal 0x1A2E09

Divisor Catalog (8)

1 3 7 21 81,701 245,103 571,907 1,715,721

Collatz Trajectory (114 steps to reach 1)

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

1,715,721 5,147,164 2,573,582 1,286,791 3,860,374 1,930,187 5,790,562 2,895,281 8,685,844 4,342,922 2,171,461 6,514,384 3,257,192 1,628,596 814,298 407,149 1,221,448 610,724 305,362 152,681 458,044 229,022 114,511 343,534 171,767 515,302 257,651 772,954 386,477 1,159,432 579,716 289,858 144,929 434,788 217,394 108,697 326,092 163,046 81,523 244,570 122,285 366,856 183,428 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883

More profiles

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