7,819,029

3² × 439 × 1979

Starting at 7,819,029, the Collatz iteration reaches 1 after 93 steps. The first transition is 23457088; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 439 × 1979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,325,600

Proper Divisor Sum 3,506,571

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7818989 ← → #7819033

Radix Representation

Decimal	7819029
Binary	11101110100111100010101 (23 bits)
Octal	0o35647425
Hexadecimal	0x774F15

Divisor Catalog (12)

1 3 9 439 1,317 1,979 3,951 5,937 17,811 868,781 2,606,343 7,819,029

Collatz Trajectory (93 steps to reach 1)

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

7,819,029 23,457,088 11,728,544 5,864,272 2,932,136 1,466,068 733,034 366,517 1,099,552 549,776 274,888 137,444 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

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