8,034,974

2 × 59 × 149 × 457

Starting at 8,034,974, the Collatz iteration reaches 1 after 168 steps. The first transition is 4017487; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 149 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,366,000

Proper Divisor Sum 4,331,026

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8034973 ← → #8034977

Radix Representation

Decimal	8034974
Binary	11110101001101010011110 (23 bits)
Octal	0o36515236
Hexadecimal	0x7A9A9E

Divisor Catalog (16)

1 2 59 118 149 298 457 914 8,791 17,582 26,963 53,926 68,093 136,186 4,017,487 8,034,974

Collatz Trajectory (168 steps to reach 1)

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

8,034,974 4,017,487 12,052,462 6,026,231 18,078,694 9,039,347 27,118,042 13,559,021 40,677,064 20,338,532 10,169,266 5,084,633 15,253,900 7,626,950 3,813,475 11,440,426 5,720,213 17,160,640 8,580,320 4,290,160 2,145,080 1,072,540 536,270 268,135 804,406 402,203 1,206,610 603,305 1,809,916 904,958 452,479 1,357,438 678,719 2,036,158 1,018,079 3,054,238 1,527,119 4,581,358 2,290,679 6,872,038 3,436,019 10,308,058 5,154,029 15,462,088 7,731,044 3,865,522 1,932,761 5,798,284 2,899,142 1,449,571 4,348,714 2,174,357 6,523,072 3,261,536 1,630,768 815,384 407,692 203,846 101,923 305,770

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