9,800,782

2 × 29 × 37 × 4567

Starting at 9,800,782, the Collatz iteration reaches 1 after 176 steps. The first transition is 4900391; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 4567

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,622,560

Proper Divisor Sum 5,821,778

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9800779 ← → #9800801

Radix Representation

Decimal	9800782
Binary	100101011000110001001110 (24 bits)
Octal	0o45306116
Hexadecimal	0x958C4E

Divisor Catalog (16)

1 2 29 37 58 74 1,073 2,146 4,567 9,134 132,443 168,979 264,886 337,958 4,900,391 9,800,782

Collatz Trajectory (176 steps to reach 1)

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

9,800,782 4,900,391 14,701,174 7,350,587 22,051,762 11,025,881 33,077,644 16,538,822 8,269,411 24,808,234 12,404,117 37,212,352 18,606,176 9,303,088 4,651,544 2,325,772 1,162,886 581,443 1,744,330 872,165 2,616,496 1,308,248 654,124 327,062 163,531 490,594 245,297 735,892 367,946 183,973 551,920 275,960 137,980 68,990 34,495 103,486 51,743 155,230 77,615 232,846 116,423 349,270 174,635 523,906 261,953 785,860 392,930 196,465 589,396 294,698 147,349 442,048 221,024 110,512 55,256 27,628 13,814 6,907 20,722 10,361

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