7,950,255

3 × 5 × 530017

Starting at 7,950,255, the Collatz iteration reaches 1 after 217 steps. The first transition is 23850766; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 530017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,720,432

Proper Divisor Sum 4,770,177

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7950253 ← → #7950277

Radix Representation

Decimal	7950255
Binary	11110010100111110101111 (23 bits)
Octal	0o36247657
Hexadecimal	0x794FAF

Divisor Catalog (8)

1 3 5 15 530,017 1,590,051 2,650,085 7,950,255

Collatz Trajectory (217 steps to reach 1)

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

7,950,255 23,850,766 11,925,383 35,776,150 17,888,075 53,664,226 26,832,113 80,496,340 40,248,170 20,124,085 60,372,256 30,186,128 15,093,064 7,546,532 3,773,266 1,886,633 5,659,900 2,829,950 1,414,975 4,244,926 2,122,463 6,367,390 3,183,695 9,551,086 4,775,543 14,326,630 7,163,315 21,489,946 10,744,973 32,234,920 16,117,460 8,058,730 4,029,365 12,088,096 6,044,048 3,022,024 1,511,012 755,506 377,753 1,133,260 566,630 283,315 849,946 424,973 1,274,920 637,460 318,730 159,365 478,096 239,048 119,524 59,762 29,881 89,644 44,822 22,411 67,234 33,617 100,852 50,426

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