8,013,362

2 × 7² × 81769

Starting at 8,013,362, the Collatz iteration reaches 1 after 261 steps. The first transition is 4006681; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 81769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,982,670

Proper Divisor Sum 5,969,308

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8013329 ← → #8013371

Radix Representation

Decimal	8013362
Binary	11110100100011000110010 (23 bits)
Octal	0o36443062
Hexadecimal	0x7A4632

Divisor Catalog (12)

1 2 7 14 49 98 81,769 163,538 572,383 1,144,766 4,006,681 8,013,362

Collatz Trajectory (261 steps to reach 1)

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

8,013,362 4,006,681 12,020,044 6,010,022 3,005,011 9,015,034 4,507,517 13,522,552 6,761,276 3,380,638 1,690,319 5,070,958 2,535,479 7,606,438 3,803,219 11,409,658 5,704,829 17,114,488 8,557,244 4,278,622 2,139,311 6,417,934 3,208,967 9,626,902 4,813,451 14,440,354 7,220,177 21,660,532 10,830,266 5,415,133 16,245,400 8,122,700 4,061,350 2,030,675 6,092,026 3,046,013 9,138,040 4,569,020 2,284,510 1,142,255 3,426,766 1,713,383 5,140,150 2,570,075 7,710,226 3,855,113 11,565,340 5,782,670 2,891,335 8,674,006 4,337,003 13,011,010 6,505,505 19,516,516 9,758,258 4,879,129 14,637,388 7,318,694 3,659,347 10,978,042

← Previous Integer #8,013,361 Browse Full Index Next Integer #8,013,363 →