λ
Ratio Atlas

43,813,630

2 × 5 × 7 × 625909
Abundant Even Composite

43,813,630 factors as 2 × 5 × 7 × 625909. Its 16 positive divisors give a proper-divisor sum of 46,317,410, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 625909
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 90,131,040
Proper Divisor Sum 46,317,410
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #43813621 ← → #43813663

Radix Representation

Decimal 43813630
Binary 10100111001000101011111110 (26 bits)
Octal 0o247105376
Hexadecimal 0x29C8AFE

Divisor Catalog (16)

Collatz Trajectory (142 steps to reach 1)

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

43,813,630 21,906,815 65,720,446 32,860,223 98,580,670 49,290,335 147,871,006 73,935,503 221,806,510 110,903,255 332,709,766 166,354,883 499,064,650 249,532,325 748,596,976 374,298,488 187,149,244 93,574,622 46,787,311 140,361,934 70,180,967 210,542,902 105,271,451 315,814,354 157,907,177 473,721,532 236,860,766 118,430,383 355,291,150 177,645,575 532,936,726 266,468,363 799,405,090 399,702,545 1,199,107,636 599,553,818 299,776,909 899,330,728 449,665,364 224,832,682 112,416,341 337,249,024 168,624,512 84,312,256 42,156,128 21,078,064 10,539,032 5,269,516 2,634,758 1,317,379 3,952,138 1,976,069 5,928,208 2,964,104 1,482,052 741,026 370,513 1,111,540 555,770 277,885

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