λ
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Atlas › Integer Profiles › Node 15,057,777

15,057,777

3 × 7 × 53 × 83 × 163
Deficient Odd Composite

15,057,777 factors as 3 × 7 × 53 × 83 × 163. Its 32 positive divisors give a proper-divisor sum of 8,747,151, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 83 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,804,928
Proper Divisor Sum 8,747,151
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #15057773 ← → #15057793

Radix Representation

Decimal 15057777
Binary 111001011100001101110001 (24 bits)
Octal 0o71341561
Hexadecimal 0xE5C371

Divisor Catalog (32)

1 3 7 21 53 83 159 163 249 371 489 581 1,113 1,141 1,743 3,423 4,399 8,639 13,197 13,529 25,917 30,793 40,587 60,473 92,379 94,703 181,419 284,109 717,037 2,151,111 5,019,259 15,057,777

Collatz Trajectory (86 steps to reach 1)

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

15,057,777 45,173,332 22,586,666 11,293,333 33,880,000 16,940,000 8,470,000 4,235,000 2,117,500 1,058,750 529,375 1,588,126 794,063 2,382,190 1,191,095 3,573,286 1,786,643 5,359,930 2,679,965 8,039,896 4,019,948 2,009,974 1,004,987 3,014,962 1,507,481 4,522,444 2,261,222 1,130,611 3,391,834 1,695,917 5,087,752 2,543,876 1,271,938 635,969 1,907,908 953,954 476,977 1,430,932 715,466 357,733 1,073,200 536,600 268,300 134,150 67,075 201,226 100,613 301,840 150,920 75,460 37,730 18,865 56,596 28,298 14,149 42,448 21,224 10,612 5,306 2,653

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