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Atlas › Integer Profiles › Node 7,208,896

7,208,896

26 × 73 × 1543
Abundant Even Composite

7,208,896 factors as 2^6 × 73 × 1543. Its 28 positive divisors give a proper-divisor sum of 7,301,616, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^6 × 73 × 1543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,510,512
Proper Divisor Sum 7,301,616
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7208893 ← → #7208899

Radix Representation

Decimal 7208896
Binary 11011011111111111000000 (23 bits)
Octal 0o33377700
Hexadecimal 0x6DFFC0

Divisor Catalog (28)

1 2 4 8 16 32 64 73 146 292 584 1,168 1,543 2,336 3,086 4,672 6,172 12,344 24,688 49,376 98,752 112,639 225,278 450,556 901,112 1,802,224 3,604,448 7,208,896

Collatz Trajectory (235 steps to reach 1)

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

7,208,896 3,604,448 1,802,224 901,112 450,556 225,278 112,639 337,918 168,959 506,878 253,439 760,318 380,159 1,140,478 570,239 1,710,718 855,359 2,566,078 1,283,039 3,849,118 1,924,559 5,773,678 2,886,839 8,660,518 4,330,259 12,990,778 6,495,389 19,486,168 9,743,084 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243 8,220,730 4,110,365 12,331,096 6,165,548 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122 1,734,061 5,202,184 2,601,092 1,300,546 650,273 1,950,820 975,410 487,705 1,463,116 731,558 365,779 1,097,338 548,669 1,646,008

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