λ
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7,429,640

23 × 5 × 281 × 661
Abundant Even Composite

7,429,640 factors as 2^3 × 5 × 281 × 661. Its 32 positive divisors give a proper-divisor sum of 9,371,920, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 281 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,801,560
Proper Divisor Sum 9,371,920
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7429633 ← → #7429649

Radix Representation

Decimal 7429640
Binary 11100010101111000001000 (23 bits)
Octal 0o34257010
Hexadecimal 0x715E08

Divisor Catalog (32)

1 2 4 5 8 10 20 40 281 562 661 1,124 1,322 1,405 2,248 2,644 2,810 3,305 5,288 5,620 6,610 11,240 13,220 26,440 185,741 371,482 742,964 928,705 1,485,928 1,857,410 3,714,820 7,429,640

Collatz Trajectory (80 steps to reach 1)

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

7,429,640 3,714,820 1,857,410 928,705 2,786,116 1,393,058 696,529 2,089,588 1,044,794 522,397 1,567,192 783,596 391,798 195,899 587,698 293,849 881,548 440,774 220,387 661,162 330,581 991,744 495,872 247,936 123,968 61,984 30,992 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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