λ
Prime Ledger

1,810,413

32 × 11 × 18287
Deficient Odd Composite

1,810,413 has the prime decomposition 3^2 × 11 × 18287. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 18287
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,852,928
Proper Divisor Sum 1,042,515
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1810409 ← → #1810421

Radix Representation

Decimal 1810413
Binary 110111001111111101101 (21 bits)
Octal 0o6717755
Hexadecimal 0x1B9FED

Divisor Catalog (12)

1 3 9 11 33 99 18,287 54,861 164,583 201,157 603,471 1,810,413

Collatz Trajectory (233 steps to reach 1)

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

1,810,413 5,431,240 2,715,620 1,357,810 678,905 2,036,716 1,018,358 509,179 1,527,538 763,769 2,291,308 1,145,654 572,827 1,718,482 859,241 2,577,724 1,288,862 644,431 1,933,294 966,647 2,899,942 1,449,971 4,349,914 2,174,957 6,524,872 3,262,436 1,631,218 815,609 2,446,828 1,223,414 611,707 1,835,122 917,561 2,752,684 1,376,342 688,171 2,064,514 1,032,257 3,096,772 1,548,386 774,193 2,322,580 1,161,290 580,645 1,741,936 870,968 435,484 217,742 108,871 326,614 163,307 489,922 244,961 734,884 367,442 183,721 551,164 275,582 137,791 413,374

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