λ
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4,334,680

23 × 5 × 7 × 113 × 137
Abundant Even Composite

4,334,680 factors as 2^3 × 5 × 7 × 113 × 137. Its 64 positive divisors give a proper-divisor sum of 6,992,360, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 113 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,327,040
Proper Divisor Sum 6,992,360
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4334663 ← → #4334713

Radix Representation

Decimal 4334680
Binary 10000100010010001011000 (23 bits)
Octal 0o20422130
Hexadecimal 0x422458

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 137 140 226 274 280 452 548 565 685 791 904 959 1,096 1,130 1,370 1,582 1,918 2,260 2,740 3,164 3,836 3,955 4,520 4,795 5,480 6,328 7,672 7,910 9,590 15,481 15,820 19,180 30,962 31,640 38,360 61,924 77,405 108,367 123,848 154,810 216,734 309,620 433,468 541,835 619,240

Collatz Trajectory (149 steps to reach 1)

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

4,334,680 2,167,340 1,083,670 541,835 1,625,506 812,753 2,438,260 1,219,130 609,565 1,828,696 914,348 457,174 228,587 685,762 342,881 1,028,644 514,322 257,161 771,484 385,742 192,871 578,614 289,307 867,922 433,961 1,301,884 650,942 325,471 976,414 488,207 1,464,622 732,311 2,196,934 1,098,467 3,295,402 1,647,701 4,943,104 2,471,552 1,235,776 617,888 308,944 154,472 77,236 38,618 19,309 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583

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