8,056,084

2² × 29 × 37 × 1877

8,056,084 factors as 2^2 × 29 × 37 × 1877. Its 24 positive divisors give a proper-divisor sum of 6,930,356, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 37 × 1877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,986,440

Proper Divisor Sum 6,930,356

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8056067 ← → #8056099

Radix Representation

Decimal	8056084
Binary	11110101110110100010100 (23 bits)
Octal	0o36566424
Hexadecimal	0x7AED14

Divisor Catalog (24)

Collatz Trajectory (186 steps to reach 1)

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

8,056,084 4,028,042 2,014,021 6,042,064 3,021,032 1,510,516 755,258 377,629 1,132,888 566,444 283,222 141,611 424,834 212,417 637,252 318,626 159,313 477,940 238,970 119,485 358,456 179,228 89,614 44,807 134,422 67,211 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518

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