λ
Prime Ledger

2,346,736

24 × 7 × 23 × 911
Abundant Even Composite

2,346,736 has the prime decomposition 2^4 × 7 × 23 × 911. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,428,224
Proper Divisor Sum 3,081,488
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2346733 ← → #2346739

Radix Representation

Decimal 2346736
Binary 1000111100111011110000 (22 bits)
Octal 0o10747360
Hexadecimal 0x23CEF0

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 911 1,288 1,822 2,576 3,644 6,377 7,288 12,754 14,576 20,953 25,508 41,906 51,016 83,812 102,032 146,671 167,624 293,342 335,248 586,684 1,173,368 2,346,736

Collatz Trajectory (99 steps to reach 1)

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

2,346,736 1,173,368 586,684 293,342 146,671 440,014 220,007 660,022 330,011 990,034 495,017 1,485,052 742,526 371,263 1,113,790 556,895 1,670,686 835,343 2,506,030 1,253,015 3,759,046 1,879,523 5,638,570 2,819,285 8,457,856 4,228,928 2,114,464 1,057,232 528,616 264,308 132,154 66,077 198,232 99,116 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890

More profiles

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