7,343,417

23 × 319279

Starting at 7,343,417, the Collatz iteration reaches 1 after 173 steps. The first transition is 22030252; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 319279

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,662,720

Proper Divisor Sum 319,303

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7343393 ← → #7343423

Radix Representation

Decimal	7343417
Binary	11100000000110100111001 (23 bits)
Octal	0o34006471
Hexadecimal	0x700D39

Divisor Catalog (4)

1 23 319,279 7,343,417

Collatz Trajectory (173 steps to reach 1)

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

7,343,417 22,030,252 11,015,126 5,507,563 16,522,690 8,261,345 24,784,036 12,392,018 6,196,009 18,588,028 9,294,014 4,647,007 13,941,022 6,970,511 20,911,534 10,455,767 31,367,302 15,683,651 47,050,954 23,525,477 70,576,432 35,288,216 17,644,108 8,822,054 4,411,027 13,233,082 6,616,541 19,849,624 9,924,812 4,962,406 2,481,203 7,443,610 3,721,805 11,165,416 5,582,708 2,791,354 1,395,677 4,187,032 2,093,516 1,046,758 523,379 1,570,138 785,069 2,355,208 1,177,604 588,802 294,401 883,204 441,602 220,801 662,404 331,202 165,601 496,804 248,402 124,201 372,604 186,302 93,151 279,454

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