λ
Prime Ledger

6,265,450

2 × 52 × 292 × 149
Deficient Even Composite

6,265,450 has the prime decomposition 2 × 5^2 × 29^2 × 149. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 29^2 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,150,450
Proper Divisor Sum 5,885,000
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6265439 ← → #6265477

Radix Representation

Decimal 6265450
Binary 10111111001101001101010 (23 bits)
Octal 0o27715152
Hexadecimal 0x5F9A6A

Divisor Catalog (36)

1 2 5 10 25 29 50 58 145 149 290 298 725 745 841 1,450 1,490 1,682 3,725 4,205 4,321 7,450 8,410 8,642 21,025 21,605 42,050 43,210 108,025 125,309 216,050 250,618 626,545 1,253,090 3,132,725 6,265,450

Collatz Trajectory (178 steps to reach 1)

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

6,265,450 3,132,725 9,398,176 4,699,088 2,349,544 1,174,772 587,386 293,693 881,080 440,540 220,270 110,135 330,406 165,203 495,610 247,805 743,416 371,708 185,854 92,927 278,782 139,391 418,174 209,087 627,262 313,631 940,894 470,447 1,411,342 705,671 2,117,014 1,058,507 3,175,522 1,587,761 4,763,284 2,381,642 1,190,821 3,572,464 1,786,232 893,116 446,558 223,279 669,838 334,919 1,004,758 502,379 1,507,138 753,569 2,260,708 1,130,354 565,177 1,695,532 847,766 423,883 1,271,650 635,825 1,907,476 953,738 476,869 1,430,608

More profiles

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