λ
Sigma Notebook

4,179,125

53 × 67 × 499
Deficient Odd Composite

4,179,125 is odd and not a perfect square. Its factorization is 5^3 × 67 × 499 and its 16 divisors sum to 5,304,000.

Prime Factor Structure

Factorization String 5^3 × 67 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,304,000
Proper Divisor Sum 1,124,875
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4179101 ← → #4179139

Radix Representation

Decimal 4179125
Binary 1111111100010010110101 (22 bits)
Octal 0o17742265
Hexadecimal 0x3FC4B5

Divisor Catalog (16)

1 5 25 67 125 335 499 1,675 2,495 8,375 12,475 33,433 62,375 167,165 835,825 4,179,125

Collatz Trajectory (185 steps to reach 1)

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

4,179,125 12,537,376 6,268,688 3,134,344 1,567,172 783,586 391,793 1,175,380 587,690 293,845 881,536 440,768 220,384 110,192 55,096 27,548 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422

More profiles

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