λ
Modular Archive

2,977,527

3 × 7 × 71 × 1997
Deficient Odd Composite

The decimal integer 2,977,527 is 1011010110111011110111 in binary (22 bits), 13267367 in octal and 2D6EF7 in hexadecimal. Its digit sum is 39.

Prime Factor Structure

Factorization String 3 × 7 × 71 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,603,392
Proper Divisor Sum 1,625,865
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2977523 ← → #2977529

Radix Representation

Decimal 2977527
Binary 1011010110111011110111 (22 bits)
Octal 0o13267367
Hexadecimal 0x2D6EF7

Divisor Catalog (16)

1 3 7 21 71 213 497 1,491 1,997 5,991 13,979 41,937 141,787 425,361 992,509 2,977,527

Collatz Trajectory (182 steps to reach 1)

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

2,977,527 8,932,582 4,466,291 13,398,874 6,699,437 20,098,312 10,049,156 5,024,578 2,512,289 7,536,868 3,768,434 1,884,217 5,652,652 2,826,326 1,413,163 4,239,490 2,119,745 6,359,236 3,179,618 1,589,809 4,769,428 2,384,714 1,192,357 3,577,072 1,788,536 894,268 447,134 223,567 670,702 335,351 1,006,054 503,027 1,509,082 754,541 2,263,624 1,131,812 565,906 282,953 848,860 424,430 212,215 636,646 318,323 954,970 477,485 1,432,456 716,228 358,114 179,057 537,172 268,586 134,293 402,880 201,440 100,720 50,360 25,180 12,590 6,295 18,886

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