7,165,262

2 × 13² × 17 × 29 × 43

7,165,262 has digital root 2. The neighboring primes are 7165253 and 7165267; its proper-divisor sum differs from the starting integer by -1,286,284.

Prime Factor Structure

Factorization String 2 × 13^2 × 17 × 29 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,044,240

Proper Divisor Sum 5,878,978

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7165253 ← → #7165267

Radix Representation

Decimal	7165262
Binary	11011010101010101001110 (23 bits)
Octal	0o33252516
Hexadecimal	0x6D554E

Divisor Catalog (48)

1 2 13 17 26 29 34 43 58 86 169 221 338 377 442 493 559 731 754 986 1,118 1,247 1,462 2,494 2,873 4,901 5,746 6,409 7,267 9,503 9,802 12,818 14,534 16,211 19,006 21,199 32,422 42,398 83,317 123,539 166,634 210,743 247,078 275,587 421,486 551,174 3,582,631 7,165,262

Collatz Trajectory (222 steps to reach 1)

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

7,165,262 3,582,631 10,747,894 5,373,947 16,121,842 8,060,921 24,182,764 12,091,382 6,045,691 18,137,074 9,068,537 27,205,612 13,602,806 6,801,403 20,404,210 10,202,105 30,606,316 15,303,158 7,651,579 22,954,738 11,477,369 34,432,108 17,216,054 8,608,027 25,824,082 12,912,041 38,736,124 19,368,062 9,684,031 29,052,094 14,526,047 43,578,142 21,789,071 65,367,214 32,683,607 98,050,822 49,025,411 147,076,234 73,538,117 220,614,352 110,307,176 55,153,588 27,576,794 13,788,397 41,365,192 20,682,596 10,341,298 5,170,649 15,511,948 7,755,974 3,877,987 11,633,962 5,816,981 17,450,944 8,725,472 4,362,736 2,181,368 1,090,684 545,342 272,671

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