λ
Math Directory

5,129,629

677 × 7577
Deficient Odd Composite

5,129,629 factors as 677 × 7577. Its 4 positive divisors give a proper-divisor sum of 8,255, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 677 × 7577
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,137,884
Proper Divisor Sum 8,255
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5129617 ← → #5129647

Radix Representation

Decimal 5129629
Binary 10011100100010110011101 (23 bits)
Octal 0o23442635
Hexadecimal 0x4E459D

Divisor Catalog (4)

1 677 7,577 5,129,629

Collatz Trajectory (126 steps to reach 1)

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

5,129,629 15,388,888 7,694,444 3,847,222 1,923,611 5,770,834 2,885,417 8,656,252 4,328,126 2,164,063 6,492,190 3,246,095 9,738,286 4,869,143 14,607,430 7,303,715 21,911,146 10,955,573 32,866,720 16,433,360 8,216,680 4,108,340 2,054,170 1,027,085 3,081,256 1,540,628 770,314 385,157 1,155,472 577,736 288,868 144,434 72,217 216,652 108,326 54,163 162,490 81,245 243,736 121,868 60,934 30,467 91,402 45,701 137,104 68,552 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542

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