9,980,220

2² × 3 × 5 × 41 × 4057

Starting at 9,980,220, the Collatz iteration reaches 1 after 207 steps. The first transition is 4990110; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 4057

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 28,633,248

Proper Divisor Sum 18,653,028

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9980209 ← → #9980221

Radix Representation

Decimal	9980220
Binary	100110000100100100111100 (24 bits)
Octal	0o46044474
Hexadecimal	0x98493C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1,230 2,460 4,057 8,114 12,171 16,228 20,285 24,342 40,570 48,684 60,855 81,140 121,710 166,337 243,420 332,674 499,011 665,348 831,685 998,022 1,663,370 1,996,044 2,495,055 3,326,740 4,990,110 9,980,220

Collatz Trajectory (207 steps to reach 1)

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

9,980,220 4,990,110 2,495,055 7,485,166 3,742,583 11,227,750 5,613,875 16,841,626 8,420,813 25,262,440 12,631,220 6,315,610 3,157,805 9,473,416 4,736,708 2,368,354 1,184,177 3,552,532 1,776,266 888,133 2,664,400 1,332,200 666,100 333,050 166,525 499,576 249,788 124,894 62,447 187,342 93,671 281,014 140,507 421,522 210,761 632,284 316,142 158,071 474,214 237,107 711,322 355,661 1,066,984 533,492 266,746 133,373 400,120 200,060 100,030 50,015 150,046 75,023 225,070 112,535 337,606 168,803 506,410 253,205 759,616 379,808

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