λ
Sigma Notebook

2,457,731

2457731
Deficient Odd Prime

2,457,731 is odd and not a perfect square. Its factorization is 2457731 and its 2 divisors sum to 2,457,732.

Prime Factor Structure

Factorization String 2457731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,457,732
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2457727 ← → #2457733

Radix Representation

Decimal 2457731
Binary 1001011000000010000011 (22 bits)
Octal 0o11300203
Hexadecimal 0x258083

Divisor Catalog (2)

1 2,457,731

Collatz Trajectory (205 steps to reach 1)

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

2,457,731 7,373,194 3,686,597 11,059,792 5,529,896 2,764,948 1,382,474 691,237 2,073,712 1,036,856 518,428 259,214 129,607 388,822 194,411 583,234 291,617 874,852 437,426 218,713 656,140 328,070 164,035 492,106 246,053 738,160 369,080 184,540 92,270 46,135 138,406 69,203 207,610 103,805 311,416 155,708 77,854 38,927 116,782 58,391 175,174 87,587 262,762 131,381 394,144 197,072 98,536 49,268 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592

More profiles

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