8,501,432

2³ × 41 × 25919

8,501,432 factors as 2^3 × 41 × 25919. Its 16 positive divisors give a proper-divisor sum of 7,828,168, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 25919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,329,600

Proper Divisor Sum 7,828,168

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8501431 ← → #8501443

Radix Representation

Decimal	8501432
Binary	100000011011100010111000 (24 bits)
Octal	0o40334270
Hexadecimal	0x81B8B8

Divisor Catalog (16)

1 2 4 8 41 82 164 328 25,919 51,838 103,676 207,352 1,062,679 2,125,358 4,250,716 8,501,432

Collatz Trajectory (150 steps to reach 1)

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

8,501,432 4,250,716 2,125,358 1,062,679 3,188,038 1,594,019 4,782,058 2,391,029 7,173,088 3,586,544 1,793,272 896,636 448,318 224,159 672,478 336,239 1,008,718 504,359 1,513,078 756,539 2,269,618 1,134,809 3,404,428 1,702,214 851,107 2,553,322 1,276,661 3,829,984 1,914,992 957,496 478,748 239,374 119,687 359,062 179,531 538,594 269,297 807,892 403,946 201,973 605,920 302,960 151,480 75,740 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926

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