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Atlas › Integer Profiles › Node 28,023,136

28,023,136

25 × 503 × 1741
Deficient Even Composite

28,023,136 factors as 2^5 × 503 × 1741. Its 24 positive divisors give a proper-divisor sum of 27,288,848, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^5 × 503 × 1741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 55,311,984
Proper Divisor Sum 27,288,848
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #28023133 ← → #28023169

Radix Representation

Decimal 28023136
Binary 1101010111001100101100000 (25 bits)
Octal 0o152714540
Hexadecimal 0x1AB9960

Divisor Catalog (24)

1 2 4 8 16 32 503 1,006 1,741 2,012 3,482 4,024 6,964 8,048 13,928 16,096 27,856 55,712 875,723 1,751,446 3,502,892 7,005,784 14,011,568 28,023,136

Collatz Trajectory (162 steps to reach 1)

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

28,023,136 14,011,568 7,005,784 3,502,892 1,751,446 875,723 2,627,170 1,313,585 3,940,756 1,970,378 985,189 2,955,568 1,477,784 738,892 369,446 184,723 554,170 277,085 831,256 415,628 207,814 103,907 311,722 155,861 467,584 233,792 116,896 58,448 29,224 14,612 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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