λ
Modular Archive

3,013,647

3 × 72 × 13 × 19 × 83
Deficient Odd Composite

The decimal integer 3,013,647 is 1011011111110000001111 in binary (22 bits), 13376017 in octal and 2DFC0F in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 19 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,362,560
Proper Divisor Sum 2,348,913
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3013643 ← → #3013663

Radix Representation

Decimal 3013647
Binary 1011011111110000001111 (22 bits)
Octal 0o13376017
Hexadecimal 0x2DFC0F

Divisor Catalog (48)

1 3 7 13 19 21 39 49 57 83 91 133 147 247 249 273 399 581 637 741 931 1,079 1,577 1,729 1,743 1,911 2,793 3,237 4,067 4,731 5,187 7,553 11,039 12,103 12,201 20,501 22,659 33,117 36,309 52,871 61,503 77,273 143,507 158,613 231,819 430,521 1,004,549 3,013,647

Collatz Trajectory (89 steps to reach 1)

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

3,013,647 9,040,942 4,520,471 13,561,414 6,780,707 20,342,122 10,171,061 30,513,184 15,256,592 7,628,296 3,814,148 1,907,074 953,537 2,860,612 1,430,306 715,153 2,145,460 1,072,730 536,365 1,609,096 804,548 402,274 201,137 603,412 301,706 150,853 452,560 226,280 113,140 56,570 28,285 84,856 42,428 21,214 10,607 31,822 15,911 47,734 23,867 71,602 35,801 107,404 53,702 26,851 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89

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