7,348,707

3² × 23 × 131 × 271

Starting at 7,348,707, the Collatz iteration reaches 1 after 173 steps. The first transition is 22046122; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 131 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,202,048

Proper Divisor Sum 3,853,341

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7348697 ← → #7348711

Radix Representation

Decimal	7348707
Binary	11100000010000111100011 (23 bits)
Octal	0o34020743
Hexadecimal	0x7021E3

Divisor Catalog (24)

1 3 9 23 69 131 207 271 393 813 1,179 2,439 3,013 6,233 9,039 18,699 27,117 35,501 56,097 106,503 319,509 816,523 2,449,569 7,348,707

Collatz Trajectory (173 steps to reach 1)

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

7,348,707 22,046,122 11,023,061 33,069,184 16,534,592 8,267,296 4,133,648 2,066,824 1,033,412 516,706 258,353 775,060 387,530 193,765 581,296 290,648 145,324 72,662 36,331 108,994 54,497 163,492 81,746 40,873 122,620 61,310 30,655 91,966 45,983 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769

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