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Atlas › Integer Profiles › Node 25,758,434

25,758,434

2 × 13 × 17 × 101 × 577
Deficient Even Composite

25,758,434 factors as 2 × 13 × 17 × 101 × 577. Its 32 positive divisors give a proper-divisor sum of 18,812,302, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 101 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,570,736
Proper Divisor Sum 18,812,302
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #25758391 ← → #25758437

Radix Representation

Decimal 25758434
Binary 1100010010000101011100010 (25 bits)
Octal 0o142205342
Hexadecimal 0x1890AE2

Divisor Catalog (32)

1 2 13 17 26 34 101 202 221 442 577 1,154 1,313 1,717 2,626 3,434 7,501 9,809 15,002 19,618 22,321 44,642 58,277 116,554 127,517 255,034 757,601 990,709 1,515,202 1,981,418 12,879,217 25,758,434

Collatz Trajectory (167 steps to reach 1)

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

25,758,434 12,879,217 38,637,652 19,318,826 9,659,413 28,978,240 14,489,120 7,244,560 3,622,280 1,811,140 905,570 452,785 1,358,356 679,178 339,589 1,018,768 509,384 254,692 127,346 63,673 191,020 95,510 47,755 143,266 71,633 214,900 107,450 53,725 161,176 80,588 40,294 20,147 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760

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