7,478,263

13 × 575251

Starting at 7,478,263, the Collatz iteration reaches 1 after 173 steps. The first transition is 22434790; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 575251

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,053,528

Proper Divisor Sum 575,265

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7478257 ← → #7478269

Radix Representation

Decimal	7478263
Binary	11100100001101111110111 (23 bits)
Octal	0o34415767
Hexadecimal	0x721BF7

Divisor Catalog (4)

1 13 575,251 7,478,263

Collatz Trajectory (173 steps to reach 1)

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

7,478,263 22,434,790 11,217,395 33,652,186 16,826,093 50,478,280 25,239,140 12,619,570 6,309,785 18,929,356 9,464,678 4,732,339 14,197,018 7,098,509 21,295,528 10,647,764 5,323,882 2,661,941 7,985,824 3,992,912 1,996,456 998,228 499,114 249,557 748,672 374,336 187,168 93,584 46,792 23,396 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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