λ
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Atlas › Integer Profiles › Node 4,332,874

4,332,874

2 × 72 × 13 × 19 × 179
Deficient Even Composite

4,332,874 factors as 2 × 7^2 × 13 × 19 × 179. Its 48 positive divisors give a proper-divisor sum of 4,285,526, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 19 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,618,400
Proper Divisor Sum 4,285,526
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4332871 ← → #4332877

Radix Representation

Decimal 4332874
Binary 10000100001110101001010 (23 bits)
Octal 0o20416512
Hexadecimal 0x421D4A

Divisor Catalog (48)

1 2 7 13 14 19 26 38 49 91 98 133 179 182 247 266 358 494 637 931 1,253 1,274 1,729 1,862 2,327 2,506 3,401 3,458 4,654 6,802 8,771 12,103 16,289 17,542 23,807 24,206 32,578 44,213 47,614 88,426 114,023 166,649 228,046 309,491 333,298 618,982 2,166,437 4,332,874

Collatz Trajectory (211 steps to reach 1)

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

4,332,874 2,166,437 6,499,312 3,249,656 1,624,828 812,414 406,207 1,218,622 609,311 1,827,934 913,967 2,741,902 1,370,951 4,112,854 2,056,427 6,169,282 3,084,641 9,253,924 4,626,962 2,313,481 6,940,444 3,470,222 1,735,111 5,205,334 2,602,667 7,808,002 3,904,001 11,712,004 5,856,002 2,928,001 8,784,004 4,392,002 2,196,001 6,588,004 3,294,002 1,647,001 4,941,004 2,470,502 1,235,251 3,705,754 1,852,877 5,558,632 2,779,316 1,389,658 694,829 2,084,488 1,042,244 521,122 260,561 781,684 390,842 195,421 586,264 293,132 146,566 73,283 219,850 109,925 329,776 164,888

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