8,005,262

2 × 4002631

8,005,262 has digital root 5. The neighboring primes are 8005243 and 8005271; its proper-divisor sum differs from the starting integer by -4,002,628.

Prime Factor Structure

Factorization String 2 × 4002631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,007,896

Proper Divisor Sum 4,002,634

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8005243 ← → #8005271

Radix Representation

Decimal	8005262
Binary	11110100010011010001110 (23 bits)
Octal	0o36423216
Hexadecimal	0x7A268E

Divisor Catalog (4)

1 2 4,002,631 8,005,262

Collatz Trajectory (168 steps to reach 1)

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

8,005,262 4,002,631 12,007,894 6,003,947 18,011,842 9,005,921 27,017,764 13,508,882 6,754,441 20,263,324 10,131,662 5,065,831 15,197,494 7,598,747 22,796,242 11,398,121 34,194,364 17,097,182 8,548,591 25,645,774 12,822,887 38,468,662 19,234,331 57,702,994 28,851,497 86,554,492 43,277,246 21,638,623 64,915,870 32,457,935 97,373,806 48,686,903 146,060,710 73,030,355 219,091,066 109,545,533 328,636,600 164,318,300 82,159,150 41,079,575 123,238,726 61,619,363 184,858,090 92,429,045 277,287,136 138,643,568 69,321,784 34,660,892 17,330,446 8,665,223 25,995,670 12,997,835 38,993,506 19,496,753 58,490,260 29,245,130 14,622,565 43,867,696 21,933,848 10,966,924

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