λ
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4,378,136

23 × 7 × 37 × 2113
Abundant Even Composite

4,378,136 factors as 2^3 × 7 × 37 × 2113. Its 32 positive divisors give a proper-divisor sum of 5,261,704, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,639,840
Proper Divisor Sum 5,261,704
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4378133 ← → #4378139

Radix Representation

Decimal 4378136
Binary 10000101100111000011000 (23 bits)
Octal 0o20547030
Hexadecimal 0x42CE18

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 1,036 2,072 2,113 4,226 8,452 14,791 16,904 29,582 59,164 78,181 118,328 156,362 312,724 547,267 625,448 1,094,534 2,189,068 4,378,136

Collatz Trajectory (198 steps to reach 1)

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

4,378,136 2,189,068 1,094,534 547,267 1,641,802 820,901 2,462,704 1,231,352 615,676 307,838 153,919 461,758 230,879 692,638 346,319 1,038,958 519,479 1,558,438 779,219 2,337,658 1,168,829 3,506,488 1,753,244 876,622 438,311 1,314,934 657,467 1,972,402 986,201 2,958,604 1,479,302 739,651 2,218,954 1,109,477 3,328,432 1,664,216 832,108 416,054 208,027 624,082 312,041 936,124 468,062 234,031 702,094 351,047 1,053,142 526,571 1,579,714 789,857 2,369,572 1,184,786 592,393 1,777,180 888,590 444,295 1,332,886 666,443 1,999,330 999,665

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