λ
Sigma Notebook

4,801,985

5 × 97 × 9901
Deficient Odd Composite

4,801,985 is odd and not a perfect square. Its factorization is 5 × 97 × 9901 and its 8 divisors sum to 5,822,376.

Prime Factor Structure

Factorization String 5 × 97 × 9901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,822,376
Proper Divisor Sum 1,020,391
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4801969 ← → #4801999

Radix Representation

Decimal 4801985
Binary 10010010100010111000001 (23 bits)
Octal 0o22242701
Hexadecimal 0x4945C1

Divisor Catalog (8)

1 5 97 485 9,901 49,505 960,397 4,801,985

Collatz Trajectory (118 steps to reach 1)

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

4,801,985 14,405,956 7,202,978 3,601,489 10,804,468 5,402,234 2,701,117 8,103,352 4,051,676 2,025,838 1,012,919 3,038,758 1,519,379 4,558,138 2,279,069 6,837,208 3,418,604 1,709,302 854,651 2,563,954 1,281,977 3,845,932 1,922,966 961,483 2,884,450 1,442,225 4,326,676 2,163,338 1,081,669 3,245,008 1,622,504 811,252 405,626 202,813 608,440 304,220 152,110 76,055 228,166 114,083 342,250 171,125 513,376 256,688 128,344 64,172 32,086 16,043 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460

More profiles

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