λ
Math Directory

4,825,675

52 × 43 × 672
Deficient Odd Composite

4,825,675 factors as 5^2 × 43 × 67^2. Its 18 positive divisors give a proper-divisor sum of 1,390,073, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 5^2 × 43 × 67^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,215,748
Proper Divisor Sum 1,390,073
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4825673 ← → #4825693

Radix Representation

Decimal 4825675
Binary 10010011010001001001011 (23 bits)
Octal 0o22321113
Hexadecimal 0x49A24B

Divisor Catalog (18)

1 5 25 43 67 215 335 1,075 1,675 2,881 4,489 14,405 22,445 72,025 112,225 193,027 965,135 4,825,675

Collatz Trajectory (144 steps to reach 1)

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

4,825,675 14,477,026 7,238,513 21,715,540 10,857,770 5,428,885 16,286,656 8,143,328 4,071,664 2,035,832 1,017,916 508,958 254,479 763,438 381,719 1,145,158 572,579 1,717,738 858,869 2,576,608 1,288,304 644,152 322,076 161,038 80,519 241,558 120,779 362,338 181,169 543,508 271,754 135,877 407,632 203,816 101,908 50,954 25,477 76,432 38,216 19,108 9,554 4,777 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706

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