7,078,317

3 × 19 × 124181

Starting at 7,078,317, the Collatz iteration reaches 1 after 160 steps. The first transition is 21234952; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 124181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,934,560

Proper Divisor Sum 2,856,243

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7078303 ← → #7078333

Radix Representation

Decimal	7078317
Binary	11011000000000110101101 (23 bits)
Octal	0o33000655
Hexadecimal	0x6C01AD

Divisor Catalog (8)

1 3 19 57 124,181 372,543 2,359,439 7,078,317

Collatz Trajectory (160 steps to reach 1)

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

7,078,317 21,234,952 10,617,476 5,308,738 2,654,369 7,963,108 3,981,554 1,990,777 5,972,332 2,986,166 1,493,083 4,479,250 2,239,625 6,718,876 3,359,438 1,679,719 5,039,158 2,519,579 7,558,738 3,779,369 11,338,108 5,669,054 2,834,527 8,503,582 4,251,791 12,755,374 6,377,687 19,133,062 9,566,531 28,699,594 14,349,797 43,049,392 21,524,696 10,762,348 5,381,174 2,690,587 8,071,762 4,035,881 12,107,644 6,053,822 3,026,911 9,080,734 4,540,367 13,621,102 6,810,551 20,431,654 10,215,827 30,647,482 15,323,741 45,971,224 22,985,612 11,492,806 5,746,403 17,239,210 8,619,605 25,858,816 12,929,408 6,464,704 3,232,352 1,616,176

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