λ
Integer Codex

2,349,730

2 × 5 × 19 × 83 × 149
Deficient Even Composite

For 2,349,730, the 32 positive divisors have a total of 4,536,000. Removing 2,349,730 leaves 2,186,270, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 83 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,536,000
Proper Divisor Sum 2,186,270
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2349727 ← → #2349731

Radix Representation

Decimal 2349730
Binary 1000111101101010100010 (22 bits)
Octal 0o10755242
Hexadecimal 0x23DAA2

Divisor Catalog (32)

1 2 5 10 19 38 83 95 149 166 190 298 415 745 830 1,490 1,577 2,831 3,154 5,662 7,885 12,367 14,155 15,770 24,734 28,310 61,835 123,670 234,973 469,946 1,174,865 2,349,730

Collatz Trajectory (174 steps to reach 1)

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

2,349,730 1,174,865 3,524,596 1,762,298 881,149 2,643,448 1,321,724 660,862 330,431 991,294 495,647 1,486,942 743,471 2,230,414 1,115,207 3,345,622 1,672,811 5,018,434 2,509,217 7,527,652 3,763,826 1,881,913 5,645,740 2,822,870 1,411,435 4,234,306 2,117,153 6,351,460 3,175,730 1,587,865 4,763,596 2,381,798 1,190,899 3,572,698 1,786,349 5,359,048 2,679,524 1,339,762 669,881 2,009,644 1,004,822 502,411 1,507,234 753,617 2,260,852 1,130,426 565,213 1,695,640 847,820 423,910 211,955 635,866 317,933 953,800 476,900 238,450 119,225 357,676 178,838 89,419

More profiles

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