5,135,824

2⁴ × 41 × 7829

Starting at 5,135,824, the Collatz iteration reaches 1 after 126 steps. The first transition is 2567912; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 7829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,194,660

Proper Divisor Sum 5,058,836

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5135807 ← → #5135839

Radix Representation

Decimal	5135824
Binary	10011100101110111010000 (23 bits)
Octal	0o23456720
Hexadecimal	0x4E5DD0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 7,829 15,658 31,316 62,632 125,264 320,989 641,978 1,283,956 2,567,912 5,135,824

Collatz Trajectory (126 steps to reach 1)

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

5,135,824 2,567,912 1,283,956 641,978 320,989 962,968 481,484 240,742 120,371 361,114 180,557 541,672 270,836 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262 57,131 171,394 85,697 257,092 128,546 64,273 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434

← Previous Integer #5,135,823 Browse Full Index Next Integer #5,135,825 →