λ
Sequence Observatory

4,487,140

22 × 5 × 7 × 32051
Abundant Even Composite

Starting at 4,487,140, the Collatz iteration reaches 1 after 74 steps. The first transition is 2243570; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 32051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,769,472
Proper Divisor Sum 6,282,332
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4487111 ← → #4487159

Radix Representation

Decimal 4487140
Binary 10001000111011111100100 (23 bits)
Octal 0o21073744
Hexadecimal 0x4477E4

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 32,051 64,102 128,204 160,255 224,357 320,510 448,714 641,020 897,428 1,121,785 2,243,570 4,487,140

Collatz Trajectory (74 steps to reach 1)

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

4,487,140 2,243,570 1,121,785 3,365,356 1,682,678 841,339 2,524,018 1,262,009 3,786,028 1,893,014 946,507 2,839,522 1,419,761 4,259,284 2,129,642 1,064,821 3,194,464 1,597,232 798,616 399,308 199,654 99,827 299,482 149,741 449,224 224,612 112,306 56,153 168,460 84,230 42,115 126,346 63,173 189,520 94,760 47,380 23,690 11,845 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22

More profiles

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