5,055,498

2 × 3² × 7 × 40123

5,055,498 factors as 2 × 3^2 × 7 × 40123. Its 24 positive divisors give a proper-divisor sum of 7,463,190, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 40123

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,518,688

Proper Divisor Sum 7,463,190

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5055493 ← → #5055503

Radix Representation

Decimal	5055498
Binary	10011010010010000001010 (23 bits)
Octal	0o23222012
Hexadecimal	0x4D240A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 40,123 80,246 120,369 240,738 280,861 361,107 561,722 722,214 842,583 1,685,166 2,527,749 5,055,498

Collatz Trajectory (206 steps to reach 1)

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

5,055,498 2,527,749 7,583,248 3,791,624 1,895,812 947,906 473,953 1,421,860 710,930 355,465 1,066,396 533,198 266,599 799,798 399,899 1,199,698 599,849 1,799,548 899,774 449,887 1,349,662 674,831 2,024,494 1,012,247 3,036,742 1,518,371 4,555,114 2,277,557 6,832,672 3,416,336 1,708,168 854,084 427,042 213,521 640,564 320,282 160,141 480,424 240,212 120,106 60,053 180,160 90,080 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075

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