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Atlas › Integer Profiles › Node 28,056,016

28,056,016

24 × 593 × 2957
Deficient Even Composite

28,056,016 factors as 2^4 × 593 × 2957. Its 20 positive divisors give a proper-divisor sum of 26,412,596, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 593 × 2957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 54,468,612
Proper Divisor Sum 26,412,596
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28056011 ← → #28056029

Radix Representation

Decimal 28056016
Binary 1101011000001100111010000 (25 bits)
Octal 0o153014720
Hexadecimal 0x1AC19D0

Divisor Catalog (20)

1 2 4 8 16 593 1,186 2,372 2,957 4,744 5,914 9,488 11,828 23,656 47,312 1,753,501 3,507,002 7,014,004 14,028,008 28,056,016

Collatz Trajectory (193 steps to reach 1)

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

28,056,016 14,028,008 7,014,004 3,507,002 1,753,501 5,260,504 2,630,252 1,315,126 657,563 1,972,690 986,345 2,959,036 1,479,518 739,759 2,219,278 1,109,639 3,328,918 1,664,459 4,993,378 2,496,689 7,490,068 3,745,034 1,872,517 5,617,552 2,808,776 1,404,388 702,194 351,097 1,053,292 526,646 263,323 789,970 394,985 1,184,956 592,478 296,239 888,718 444,359 1,333,078 666,539 1,999,618 999,809 2,999,428 1,499,714 749,857 2,249,572 1,124,786 562,393 1,687,180 843,590 421,795 1,265,386 632,693 1,898,080 949,040 474,520 237,260 118,630 59,315 177,946

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