λ
Sequence Observatory

9,639,252

22 × 32 × 7 × 29 × 1319
Abundant Even Composite

Starting at 9,639,252, the Collatz iteration reaches 1 after 44 steps. The first transition is 4819626; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 29 × 1319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 28,828,800
Proper Divisor Sum 19,189,548
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9639247 ← → #9639283

Radix Representation

Decimal 9639252
Binary 100100110001010101010100 (24 bits)
Octal 0o44612524
Hexadecimal 0x931554

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1,044 1,218 1,319 1,827 2,436 2,638 3,654 3,957 5,276 7,308 7,914 9,233 11,871 15,828 18,466 23,742 27,699 36,932 38,251 47,484 55,398 76,502 83,097 110,796 114,753 153,004 166,194 229,506 267,757 332,388

Collatz Trajectory (44 steps to reach 1)

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

9,639,252 4,819,626 2,409,813 7,229,440 3,614,720 1,807,360 903,680 451,840 225,920 112,960 56,480 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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