7,907,350

2 × 5² × 11² × 1307

Starting at 7,907,350, the Collatz iteration reaches 1 after 93 steps. The first transition is 3953675; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11^2 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,178,652

Proper Divisor Sum 8,271,302

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7907323 ← → #7907351

Radix Representation

Decimal	7907350
Binary	11110001010100000010110 (23 bits)
Octal	0o36124026
Hexadecimal	0x78A816

Divisor Catalog (36)

1 2 5 10 11 22 25 50 55 110 121 242 275 550 605 1,210 1,307 2,614 3,025 6,050 6,535 13,070 14,377 28,754 32,675 65,350 71,885 143,770 158,147 316,294 359,425 718,850 790,735 1,581,470 3,953,675 7,907,350

Collatz Trajectory (93 steps to reach 1)

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

7,907,350 3,953,675 11,861,026 5,930,513 17,791,540 8,895,770 4,447,885 13,343,656 6,671,828 3,335,914 1,667,957 5,003,872 2,501,936 1,250,968 625,484 312,742 156,371 469,114 234,557 703,672 351,836 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

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