λ
Integer Codex

8,077,357

8077357
Deficient Odd Prime

For 8,077,357, the 2 positive divisors have a total of 8,077,358. Removing 8,077,357 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8077357
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,077,358
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8077339 ← → #8077379

Radix Representation

Decimal 8077357
Binary 11110110100000000101101 (23 bits)
Octal 0o36640055
Hexadecimal 0x7B402D

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,077,357 24,232,072 12,116,036 6,058,018 3,029,009 9,087,028 4,543,514 2,271,757 6,815,272 3,407,636 1,703,818 851,909 2,555,728 1,277,864 638,932 319,466 159,733 479,200 239,600 119,800 59,900 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236

More profiles

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