7,606,047

3 × 643 × 3943

Starting at 7,606,047, the Collatz iteration reaches 1 after 323 steps. The first transition is 22818142; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 643 × 3943

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,159,744

Proper Divisor Sum 2,553,697

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7606019 ← → #7606051

Radix Representation

Decimal	7606047
Binary	11101000000111100011111 (23 bits)
Octal	0o35007437
Hexadecimal	0x740F1F

Divisor Catalog (8)

1 3 643 1,929 3,943 11,829 2,535,349 7,606,047

Collatz Trajectory (323 steps to reach 1)

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

7,606,047 22,818,142 11,409,071 34,227,214 17,113,607 51,340,822 25,670,411 77,011,234 38,505,617 115,516,852 57,758,426 28,879,213 86,637,640 43,318,820 21,659,410 10,829,705 32,489,116 16,244,558 8,122,279 24,366,838 12,183,419 36,550,258 18,275,129 54,825,388 27,412,694 13,706,347 41,119,042 20,559,521 61,678,564 30,839,282 15,419,641 46,258,924 23,129,462 11,564,731 34,694,194 17,347,097 52,041,292 26,020,646 13,010,323 39,030,970 19,515,485 58,546,456 29,273,228 14,636,614 7,318,307 21,954,922 10,977,461 32,932,384 16,466,192 8,233,096 4,116,548 2,058,274 1,029,137 3,087,412 1,543,706 771,853 2,315,560 1,157,780 578,890 289,445

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