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Atlas › Integer Profiles › Node 4,523,925

4,523,925

3 × 52 × 72 × 1231
Deficient Odd Composite

4,523,925 factors as 3 × 5^2 × 7^2 × 1231. Its 36 positive divisors give a proper-divisor sum of 4,183,851, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,707,776
Proper Divisor Sum 4,183,851
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4523917 ← → #4523941

Radix Representation

Decimal 4523925
Binary 10001010000011110010101 (23 bits)
Octal 0o21203625
Hexadecimal 0x450795

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1,225 1,231 3,675 3,693 6,155 8,617 18,465 25,851 30,775 43,085 60,319 92,325 129,255 180,957 215,425 301,595 646,275 904,785 1,507,975 4,523,925

Collatz Trajectory (180 steps to reach 1)

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

4,523,925 13,571,776 6,785,888 3,392,944 1,696,472 848,236 424,118 212,059 636,178 318,089 954,268 477,134 238,567 715,702 357,851 1,073,554 536,777 1,610,332 805,166 402,583 1,207,750 603,875 1,811,626 905,813 2,717,440 1,358,720 679,360 339,680 169,840 84,920 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784

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