7,713,054

2 × 3² × 428503

Starting at 7,713,054, the Collatz iteration reaches 1 after 235 steps. The first transition is 3856527; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 428503

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,711,656

Proper Divisor Sum 8,998,602

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7713047 ← → #7713071

Radix Representation

Decimal	7713054
Binary	11101011011000100011110 (23 bits)
Octal	0o35330436
Hexadecimal	0x75B11E

Divisor Catalog (12)

1 2 3 6 9 18 428,503 857,006 1,285,509 2,571,018 3,856,527 7,713,054

Collatz Trajectory (235 steps to reach 1)

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

7,713,054 3,856,527 11,569,582 5,784,791 17,354,374 8,677,187 26,031,562 13,015,781 39,047,344 19,523,672 9,761,836 4,880,918 2,440,459 7,321,378 3,660,689 10,982,068 5,491,034 2,745,517 8,236,552 4,118,276 2,059,138 1,029,569 3,088,708 1,544,354 772,177 2,316,532 1,158,266 579,133 1,737,400 868,700 434,350 217,175 651,526 325,763 977,290 488,645 1,465,936 732,968 366,484 183,242 91,621 274,864 137,432 68,716 34,358 17,179 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542

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