5,520,928

2⁵ × 7³ × 503

Starting at 5,520,928, the Collatz iteration reaches 1 after 38 steps. The first transition is 2760464; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7^3 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,700,800

Proper Divisor Sum 7,179,872

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5520923 ← → #5520929

Radix Representation

Decimal	5520928
Binary	10101000011111000100000 (23 bits)
Octal	0o25037040
Hexadecimal	0x543E20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 503 686 784 1,006 1,372 1,568 2,012 2,744 3,521 4,024 5,488 7,042 8,048 10,976 14,084 16,096 24,647 28,168 49,294 56,336 98,588 112,672 172,529 197,176 345,058 394,352 690,116 788,704 1,380,232 2,760,464 5,520,928

Collatz Trajectory (38 steps to reach 1)

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

5,520,928 2,760,464 1,380,232 690,116 345,058 172,529 517,588 258,794 129,397 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

← Previous Integer #5,520,927 Browse Full Index Next Integer #5,520,929 →