7,453,480

2³ × 5 × 17 × 97 × 113

Starting at 7,453,480, the Collatz iteration reaches 1 after 85 steps. The first transition is 3726740; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 97 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 18,098,640

Proper Divisor Sum 10,645,160

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7453477 ← → #7453487

Radix Representation

Decimal	7453480
Binary	11100011011101100101000 (23 bits)
Octal	0o34335450
Hexadecimal	0x71BB28

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 34 40 68 85 97 113 136 170 194 226 340 388 452 485 565 680 776 904 970 1,130 1,649 1,921 1,940 2,260 3,298 3,842 3,880 4,520 6,596 7,684 8,245 9,605 10,961 13,192 15,368 16,490 19,210 21,922 32,980 38,420 43,844 54,805 65,960 76,840 87,688 109,610 186,337 219,220 372,674 438,440 745,348 931,685

Collatz Trajectory (85 steps to reach 1)

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

7,453,480 3,726,740 1,863,370 931,685 2,795,056 1,397,528 698,764 349,382 174,691 524,074 262,037 786,112 393,056 196,528 98,264 49,132 24,566 12,283 36,850 18,425 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882

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