λ
Sigma Notebook

6,415,877

13 × 211 × 2339
Deficient Odd Composite

6,415,877 is odd and not a perfect square. Its factorization is 13 × 211 × 2339 and its 8 divisors sum to 6,945,120.

Prime Factor Structure

Factorization String 13 × 211 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,945,120
Proper Divisor Sum 529,243
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6415861 ← → #6415883

Radix Representation

Decimal 6415877
Binary 11000011110011000000101 (23 bits)
Octal 0o30363005
Hexadecimal 0x61E605

Divisor Catalog (8)

1 13 211 2,339 2,743 30,407 493,529 6,415,877

Collatz Trajectory (240 steps to reach 1)

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

6,415,877 19,247,632 9,623,816 4,811,908 2,405,954 1,202,977 3,608,932 1,804,466 902,233 2,706,700 1,353,350 676,675 2,030,026 1,015,013 3,045,040 1,522,520 761,260 380,630 190,315 570,946 285,473 856,420 428,210 214,105 642,316 321,158 160,579 481,738 240,869 722,608 361,304 180,652 90,326 45,163 135,490 67,745 203,236 101,618 50,809 152,428 76,214 38,107 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696

More profiles

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