8,374,941

3³ × 313 × 991

Starting at 8,374,941, the Collatz iteration reaches 1 after 137 steps. The first transition is 25124824; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 313 × 991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,459,520

Proper Divisor Sum 4,084,579

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8374937 ← → #8374943

Radix Representation

Decimal	8374941
Binary	11111111100101010011101 (23 bits)
Octal	0o37745235
Hexadecimal	0x7FCA9D

Divisor Catalog (16)

1 3 9 27 313 939 991 2,817 2,973 8,451 8,919 26,757 310,183 930,549 2,791,647 8,374,941

Collatz Trajectory (137 steps to reach 1)

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

8,374,941 25,124,824 12,562,412 6,281,206 3,140,603 9,421,810 4,710,905 14,132,716 7,066,358 3,533,179 10,599,538 5,299,769 15,899,308 7,949,654 3,974,827 11,924,482 5,962,241 17,886,724 8,943,362 4,471,681 13,415,044 6,707,522 3,353,761 10,061,284 5,030,642 2,515,321 7,545,964 3,772,982 1,886,491 5,659,474 2,829,737 8,489,212 4,244,606 2,122,303 6,366,910 3,183,455 9,550,366 4,775,183 14,325,550 7,162,775 21,488,326 10,744,163 32,232,490 16,116,245 48,348,736 24,174,368 12,087,184 6,043,592 3,021,796 1,510,898 755,449 2,266,348 1,133,174 566,587 1,699,762 849,881 2,549,644 1,274,822 637,411 1,912,234

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