3,011,480

2³ × 5 × 79 × 953

Starting at 3,011,480, the Collatz iteration reaches 1 after 195 steps. The first transition is 1505740; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 79 × 953

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,868,800

Proper Divisor Sum 3,857,320

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3011453 ← → #3011483

Radix Representation

Decimal	3011480
Binary	1011011111001110011000 (22 bits)
Octal	0o13371630
Hexadecimal	0x2DF398

Divisor Catalog (32)

1 2 4 5 8 10 20 40 79 158 316 395 632 790 953 1,580 1,906 3,160 3,812 4,765 7,624 9,530 19,060 38,120 75,287 150,574 301,148 376,435 602,296 752,870 1,505,740 3,011,480

Collatz Trajectory (195 steps to reach 1)

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

3,011,480 1,505,740 752,870 376,435 1,129,306 564,653 1,693,960 846,980 423,490 211,745 635,236 317,618 158,809 476,428 238,214 119,107 357,322 178,661 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614

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