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Atlas › Integer Profiles › Node 7,215,356

7,215,356

22 × 83 × 103 × 211
Deficient Even Composite

7,215,356 factors as 2^2 × 83 × 103 × 211. Its 24 positive divisors give a proper-divisor sum of 5,748,868, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 83 × 103 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,964,224
Proper Divisor Sum 5,748,868
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7215347 ← → #7215401

Radix Representation

Decimal 7215356
Binary 11011100001100011111100 (23 bits)
Octal 0o33414374
Hexadecimal 0x6E18FC

Divisor Catalog (24)

1 2 4 83 103 166 206 211 332 412 422 844 8,549 17,098 17,513 21,733 34,196 35,026 43,466 70,052 86,932 1,803,839 3,607,678 7,215,356

Collatz Trajectory (235 steps to reach 1)

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

7,215,356 3,607,678 1,803,839 5,411,518 2,705,759 8,117,278 4,058,639 12,175,918 6,087,959 18,263,878 9,131,939 27,395,818 13,697,909 41,093,728 20,546,864 10,273,432 5,136,716 2,568,358 1,284,179 3,852,538 1,926,269 5,778,808 2,889,404 1,444,702 722,351 2,167,054 1,083,527 3,250,582 1,625,291 4,875,874 2,437,937 7,313,812 3,656,906 1,828,453 5,485,360 2,742,680 1,371,340 685,670 342,835 1,028,506 514,253 1,542,760 771,380 385,690 192,845 578,536 289,268 144,634 72,317 216,952 108,476 54,238 27,119 81,358 40,679 122,038 61,019 183,058 91,529 274,588

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