7,994,560

2⁶ × 5 × 7 × 43 × 83

Starting at 7,994,560, the Collatz iteration reaches 1 after 186 steps. The first transition is 3997280; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 43 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 22,530,816

Proper Divisor Sum 14,536,256

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7994557 ← → #7994617

Radix Representation

Decimal	7994560
Binary	11110011111110011000000 (23 bits)
Octal	0o36376300
Hexadecimal	0x79FCC0

Divisor Catalog (60 of 112)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 83 86 112 140 160 166 172 215 224 280 301 320 332 344 415 430 448 560 581 602 664 688 830 860 1,120 1,162 1,204 1,328 1,376 1,505 1,660 1,720 2,240 2,324 2,408 2,656 2,752 2,905 3,010 3,320 3,440

Collatz Trajectory (186 steps to reach 1)

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

7,994,560 3,997,280 1,998,640 999,320 499,660 249,830 124,915 374,746 187,373 562,120 281,060 140,530 70,265 210,796 105,398 52,699 158,098 79,049 237,148 118,574 59,287 177,862 88,931 266,794 133,397 400,192 200,096 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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