λ
Sequence Observatory

9,974,132

22 × 7 × 356219
Abundant Even Composite

Starting at 9,974,132, the Collatz iteration reaches 1 after 176 steps. The first transition is 4987066; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 356219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 19,948,320
Proper Divisor Sum 9,974,188
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9974131 ← → #9974137

Radix Representation

Decimal 9974132
Binary 100110000011000101110100 (24 bits)
Octal 0o46030564
Hexadecimal 0x983174

Divisor Catalog (12)

1 2 4 7 14 28 356,219 712,438 1,424,876 2,493,533 4,987,066 9,974,132

Collatz Trajectory (176 steps to reach 1)

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

9,974,132 4,987,066 2,493,533 7,480,600 3,740,300 1,870,150 935,075 2,805,226 1,402,613 4,207,840 2,103,920 1,051,960 525,980 262,990 131,495 394,486 197,243 591,730 295,865 887,596 443,798 221,899 665,698 332,849 998,548 499,274 249,637 748,912 374,456 187,228 93,614 46,807 140,422 70,211 210,634 105,317 315,952 157,976 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293

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