λ
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14,958,970

2 × 5 × 13 × 23 × 5003
Abundant Even Composite

14,958,970 factors as 2 × 5 × 13 × 23 × 5003. Its 32 positive divisors give a proper-divisor sum of 15,305,222, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 5003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,264,192
Proper Divisor Sum 15,305,222
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #14958961 ← → #14959003

Radix Representation

Decimal 14958970
Binary 111001000100000101111010 (24 bits)
Octal 0o71040572
Hexadecimal 0xE4417A

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,495 2,990 5,003 10,006 25,015 50,030 65,039 115,069 130,078 230,138 325,195 575,345 650,390 1,150,690 1,495,897 2,991,794 7,479,485 14,958,970

Collatz Trajectory (249 steps to reach 1)

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

14,958,970 7,479,485 22,438,456 11,219,228 5,609,614 2,804,807 8,414,422 4,207,211 12,621,634 6,310,817 18,932,452 9,466,226 4,733,113 14,199,340 7,099,670 3,549,835 10,649,506 5,324,753 15,974,260 7,987,130 3,993,565 11,980,696 5,990,348 2,995,174 1,497,587 4,492,762 2,246,381 6,739,144 3,369,572 1,684,786 842,393 2,527,180 1,263,590 631,795 1,895,386 947,693 2,843,080 1,421,540 710,770 355,385 1,066,156 533,078 266,539 799,618 399,809 1,199,428 599,714 299,857 899,572 449,786 224,893 674,680 337,340 168,670 84,335 253,006 126,503 379,510 189,755 569,266

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