6,203,424

2⁵ × 3 × 19² × 179

6,203,424 factors as 2^5 × 3 × 19^2 × 179. Its 72 positive divisors give a proper-divisor sum of 11,078,736, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 19^2 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,282,160

Proper Divisor Sum 11,078,736

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6203411 ← → #6203429

Radix Representation

Decimal	6203424
Binary	10111101010100000100000 (23 bits)
Octal	0o27524040
Hexadecimal	0x5EA820

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 361 456 537 608 716 722 912 1,074 1,083 1,432 1,444 1,824 2,148 2,166 2,864 2,888 3,401 4,296 4,332 5,728 5,776 6,802 8,592 8,664 10,203 11,552 13,604 17,184 17,328 20,406 27,208 34,656 40,812 54,416 64,619 81,624 108,832 129,238

Collatz Trajectory (196 steps to reach 1)

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

6,203,424 3,101,712 1,550,856 775,428 387,714 193,857 581,572 290,786 145,393 436,180 218,090 109,045 327,136 163,568 81,784 40,892 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194

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