λ
Integer Codex

4,641,617

89 × 52153
Deficient Odd Composite

For 4,641,617, the 4 positive divisors have a total of 4,693,860. Removing 4,641,617 leaves 52,243, which gives the deficient classification.

Prime Factor Structure

Factorization String 89 × 52153
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,693,860
Proper Divisor Sum 52,243
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4641587 ← → #4641631

Radix Representation

Decimal 4641617
Binary 10001101101001101010001 (23 bits)
Octal 0o21551521
Hexadecimal 0x46D351

Divisor Catalog (4)

1 89 52,153 4,641,617

Collatz Trajectory (100 steps to reach 1)

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

4,641,617 13,924,852 6,962,426 3,481,213 10,443,640 5,221,820 2,610,910 1,305,455 3,916,366 1,958,183 5,874,550 2,937,275 8,811,826 4,405,913 13,217,740 6,608,870 3,304,435 9,913,306 4,956,653 14,869,960 7,434,980 3,717,490 1,858,745 5,576,236 2,788,118 1,394,059 4,182,178 2,091,089 6,273,268 3,136,634 1,568,317 4,704,952 2,352,476 1,176,238 588,119 1,764,358 882,179 2,646,538 1,323,269 3,969,808 1,984,904 992,452 496,226 248,113 744,340 372,170 186,085 558,256 279,128 139,564 69,782 34,891 104,674 52,337 157,012 78,506 39,253 117,760 58,880 29,440

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