λ
Prime Ledger

1,723,826

2 × 13 × 66301
Deficient Even Composite

1,723,826 has the prime decomposition 2 × 13 × 66301. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 66301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,784,684
Proper Divisor Sum 1,060,858
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1723823 ← → #1723837

Radix Representation

Decimal 1723826
Binary 110100100110110110010 (21 bits)
Octal 0o6446662
Hexadecimal 0x1A4DB2

Divisor Catalog (8)

1 2 13 26 66,301 132,602 861,913 1,723,826

Collatz Trajectory (220 steps to reach 1)

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

1,723,826 861,913 2,585,740 1,292,870 646,435 1,939,306 969,653 2,908,960 1,454,480 727,240 363,620 181,810 90,905 272,716 136,358 68,179 204,538 102,269 306,808 153,404 76,702 38,351 115,054 57,527 172,582 86,291 258,874 129,437 388,312 194,156 97,078 48,539 145,618 72,809 218,428 109,214 54,607 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605

More profiles

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