λ
Harmonic Matrix

1,721,332

22 × 430333
Deficient Even Composite

1,721,332 has digital root 1. The neighboring primes are 1721327 and 1721339; its proper-divisor sum differs from the starting integer by -430,326.

Prime Factor Structure

Factorization String 2^2 × 430333
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,012,338
Proper Divisor Sum 1,291,006
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1721327 ← → #1721339

Radix Representation

Decimal 1721332
Binary 110100100001111110100 (21 bits)
Octal 0o6441764
Hexadecimal 0x1A43F4

Divisor Catalog (6)

1 2 4 430,333 860,666 1,721,332

Collatz Trajectory (176 steps to reach 1)

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

1,721,332 860,666 430,333 1,291,000 645,500 322,750 161,375 484,126 242,063 726,190 363,095 1,089,286 544,643 1,633,930 816,965 2,450,896 1,225,448 612,724 306,362 153,181 459,544 229,772 114,886 57,443 172,330 86,165 258,496 129,248 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925

More profiles

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