λ
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Atlas › Integer Profiles › Node 2,341,140

2,341,140

22 × 3 × 5 × 39019
Abundant Even Composite

2,341,140 factors as 2^2 × 3 × 5 × 39019. Its 24 positive divisors give a proper-divisor sum of 4,214,220, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 39019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,555,360
Proper Divisor Sum 4,214,220
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2341133 ← → #2341159

Radix Representation

Decimal 2341140
Binary 1000111011100100010100 (22 bits)
Octal 0o10734424
Hexadecimal 0x23B914

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 39,019 78,038 117,057 156,076 195,095 234,114 390,190 468,228 585,285 780,380 1,170,570 2,341,140

Collatz Trajectory (99 steps to reach 1)

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

2,341,140 1,170,570 585,285 1,755,856 877,928 438,964 219,482 109,741 329,224 164,612 82,306 41,153 123,460 61,730 30,865 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482

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