7,238,348

2² × 13 × 139199

Starting at 7,238,348, the Collatz iteration reaches 1 after 142 steps. The first transition is 3619174; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 139199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,641,600

Proper Divisor Sum 6,403,252

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7238339 ← → #7238351

Radix Representation

Decimal	7238348
Binary	11011100111001011001100 (23 bits)
Octal	0o33471314
Hexadecimal	0x6E72CC

Divisor Catalog (12)

1 2 4 13 26 52 139,199 278,398 556,796 1,809,587 3,619,174 7,238,348

Collatz Trajectory (142 steps to reach 1)

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

7,238,348 3,619,174 1,809,587 5,428,762 2,714,381 8,143,144 4,071,572 2,035,786 1,017,893 3,053,680 1,526,840 763,420 381,710 190,855 572,566 286,283 858,850 429,425 1,288,276 644,138 322,069 966,208 483,104 241,552 120,776 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560

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