λ
Harmonic Matrix

1,654,421

29 × 89 × 641
Deficient Odd Composite

1,654,421 has digital root 5. The neighboring primes are 1654403 and 1654427; its proper-divisor sum differs from the starting integer by -1,575,442.

Prime Factor Structure

Factorization String 29 × 89 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,733,400
Proper Divisor Sum 78,979
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1654403 ← → #1654427

Radix Representation

Decimal 1654421
Binary 110010011111010010101 (21 bits)
Octal 0o6237225
Hexadecimal 0x193E95

Divisor Catalog (8)

1 29 89 641 2,581 18,589 57,049 1,654,421

Collatz Trajectory (145 steps to reach 1)

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

1,654,421 4,963,264 2,481,632 1,240,816 620,408 310,204 155,102 77,551 232,654 116,327 348,982 174,491 523,474 261,737 785,212 392,606 196,303 588,910 294,455 883,366 441,683 1,325,050 662,525 1,987,576 993,788 496,894 248,447 745,342 372,671 1,118,014 559,007 1,677,022 838,511 2,515,534 1,257,767 3,773,302 1,886,651 5,659,954 2,829,977 8,489,932 4,244,966 2,122,483 6,367,450 3,183,725 9,551,176 4,775,588 2,387,794 1,193,897 3,581,692 1,790,846 895,423 2,686,270 1,343,135 4,029,406 2,014,703 6,044,110 3,022,055 9,066,166 4,533,083 13,599,250

More profiles

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