7,492,640

2⁵ × 5 × 46829

Starting at 7,492,640, the Collatz iteration reaches 1 after 160 steps. The first transition is 3746320; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 46829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,701,740

Proper Divisor Sum 10,209,100

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7492609 ← → #7492657

Radix Representation

Decimal	7492640
Binary	11100100101010000100000 (23 bits)
Octal	0o34452040
Hexadecimal	0x725420

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 46,829 93,658 187,316 234,145 374,632 468,290 749,264 936,580 1,498,528 1,873,160 3,746,320 7,492,640

Collatz Trajectory (160 steps to reach 1)

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

7,492,640 3,746,320 1,873,160 936,580 468,290 234,145 702,436 351,218 175,609 526,828 263,414 131,707 395,122 197,561 592,684 296,342 148,171 444,514 222,257 666,772 333,386 166,693 500,080 250,040 125,020 62,510 31,255 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928

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