λ
Prime Ledger

1,789,434

2 × 32 × 89 × 1117
Abundant Even Composite

1,789,434 has the prime decomposition 2 × 3^2 × 89 × 1117. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 89 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,924,180
Proper Divisor Sum 2,134,746
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1789433 ← → #1789451

Radix Representation

Decimal 1789434
Binary 110110100110111111010 (21 bits)
Octal 0o6646772
Hexadecimal 0x1B4DFA

Divisor Catalog (24)

1 2 3 6 9 18 89 178 267 534 801 1,117 1,602 2,234 3,351 6,702 10,053 20,106 99,413 198,826 298,239 596,478 894,717 1,789,434

Collatz Trajectory (140 steps to reach 1)

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

1,789,434 894,717 2,684,152 1,342,076 671,038 335,519 1,006,558 503,279 1,509,838 754,919 2,264,758 1,132,379 3,397,138 1,698,569 5,095,708 2,547,854 1,273,927 3,821,782 1,910,891 5,732,674 2,866,337 8,599,012 4,299,506 2,149,753 6,449,260 3,224,630 1,612,315 4,836,946 2,418,473 7,255,420 3,627,710 1,813,855 5,441,566 2,720,783 8,162,350 4,081,175 12,243,526 6,121,763 18,365,290 9,182,645 27,547,936 13,773,968 6,886,984 3,443,492 1,721,746 860,873 2,582,620 1,291,310 645,655 1,936,966 968,483 2,905,450 1,452,725 4,358,176 2,179,088 1,089,544 544,772 272,386 136,193 408,580

More profiles

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