1,272,131

7 × 263 × 691

1,272,131 has digital root 8. The neighboring primes are 1272113 and 1272133; its proper-divisor sum differs from the starting integer by -1,082,758.

Prime Factor Structure

Factorization String 7 × 263 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,461,504

Proper Divisor Sum 189,373

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1272113 ← → #1272133

Radix Representation

Decimal	1272131
Binary	100110110100101000011 (21 bits)
Octal	0o4664503
Hexadecimal	0x136943

Divisor Catalog (8)

1 7 263 691 1,841 4,837 181,733 1,272,131

Collatz Trajectory (248 steps to reach 1)

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

1,272,131 3,816,394 1,908,197 5,724,592 2,862,296 1,431,148 715,574 357,787 1,073,362 536,681 1,610,044 805,022 402,511 1,207,534 603,767 1,811,302 905,651 2,716,954 1,358,477 4,075,432 2,037,716 1,018,858 509,429 1,528,288 764,144 382,072 191,036 95,518 47,759 143,278 71,639 214,918 107,459 322,378 161,189 483,568 241,784 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418

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