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Atlas › Integer Profiles › Node 7,256,270

7,256,270

2 × 5 × 7 × 23 × 4507
Abundant Even Composite

7,256,270 factors as 2 × 5 × 7 × 23 × 4507. Its 32 positive divisors give a proper-divisor sum of 8,323,378, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 4507
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,579,648
Proper Divisor Sum 8,323,378
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7256261 ← → #7256287

Radix Representation

Decimal 7256270
Binary 11011101011100011001110 (23 bits)
Octal 0o33534316
Hexadecimal 0x6EB8CE

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1,610 4,507 9,014 22,535 31,549 45,070 63,098 103,661 157,745 207,322 315,490 518,305 725,627 1,036,610 1,451,254 3,628,135 7,256,270

Collatz Trajectory (235 steps to reach 1)

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

7,256,270 3,628,135 10,884,406 5,442,203 16,326,610 8,163,305 24,489,916 12,244,958 6,122,479 18,367,438 9,183,719 27,551,158 13,775,579 41,326,738 20,663,369 61,990,108 30,995,054 15,497,527 46,492,582 23,246,291 69,738,874 34,869,437 104,608,312 52,304,156 26,152,078 13,076,039 39,228,118 19,614,059 58,842,178 29,421,089 88,263,268 44,131,634 22,065,817 66,197,452 33,098,726 16,549,363 49,648,090 24,824,045 74,472,136 37,236,068 18,618,034 9,309,017 27,927,052 13,963,526 6,981,763 20,945,290 10,472,645 31,417,936 15,708,968 7,854,484 3,927,242 1,963,621 5,890,864 2,945,432 1,472,716 736,358 368,179 1,104,538 552,269 1,656,808

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