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Atlas › Integer Profiles › Node 25,459,432

25,459,432

23 × 31 × 251 × 409
Deficient Even Composite

25,459,432 factors as 2^3 × 31 × 251 × 409. Its 32 positive divisors give a proper-divisor sum of 24,134,168, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 251 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,593,600
Proper Divisor Sum 24,134,168
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25459417 ← → #25459433

Radix Representation

Decimal 25459432
Binary 1100001000111101011101000 (25 bits)
Octal 0o141075350
Hexadecimal 0x1847AE8

Divisor Catalog (32)

1 2 4 8 31 62 124 248 251 409 502 818 1,004 1,636 2,008 3,272 7,781 12,679 15,562 25,358 31,124 50,716 62,248 101,432 102,659 205,318 410,636 821,272 3,182,429 6,364,858 12,729,716 25,459,432

Collatz Trajectory (198 steps to reach 1)

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

25,459,432 12,729,716 6,364,858 3,182,429 9,547,288 4,773,644 2,386,822 1,193,411 3,580,234 1,790,117 5,370,352 2,685,176 1,342,588 671,294 335,647 1,006,942 503,471 1,510,414 755,207 2,265,622 1,132,811 3,398,434 1,699,217 5,097,652 2,548,826 1,274,413 3,823,240 1,911,620 955,810 477,905 1,433,716 716,858 358,429 1,075,288 537,644 268,822 134,411 403,234 201,617 604,852 302,426 151,213 453,640 226,820 113,410 56,705 170,116 85,058 42,529 127,588 63,794 31,897 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914

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