λ
Ratio Atlas

8,277,427

8277427
Deficient Odd Prime

8,277,427 factors as 8277427. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 8277427
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,277,428
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8277391 ← → #8277439

Radix Representation

Decimal 8277427
Binary 11111100100110110110011 (23 bits)
Octal 0o37446663
Hexadecimal 0x7E4DB3

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

8,277,427 24,832,282 12,416,141 37,248,424 18,624,212 9,312,106 4,656,053 13,968,160 6,984,080 3,492,040 1,746,020 873,010 436,505 1,309,516 654,758 327,379 982,138 491,069 1,473,208 736,604 368,302 184,151 552,454 276,227 828,682 414,341 1,243,024 621,512 310,756 155,378 77,689 233,068 116,534 58,267 174,802 87,401 262,204 131,102 65,551 196,654 98,327 294,982 147,491 442,474 221,237 663,712 331,856 165,928 82,964 41,482 20,741 62,224 31,112 15,556 7,778 3,889 11,668 5,834 2,917 8,752

More profiles

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