2,772,496

2⁴ × 17 × 10193

Starting at 2,772,496, the Collatz iteration reaches 1 after 138 steps. The first transition is 1386248; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 10193

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,688,252

Proper Divisor Sum 2,915,756

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2772481 ← → #2772529

Radix Representation

Decimal	2772496
Binary	1010100100111000010000 (22 bits)
Octal	0o12447020
Hexadecimal	0x2A4E10

Divisor Catalog (20)

Collatz Trajectory (138 steps to reach 1)

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

2,772,496 1,386,248 693,124 346,562 173,281 519,844 259,922 129,961 389,884 194,942 97,471 292,414 146,207 438,622 219,311 657,934 328,967 986,902 493,451 1,480,354 740,177 2,220,532 1,110,266 555,133 1,665,400 832,700 416,350 208,175 624,526 312,263 936,790 468,395 1,405,186 702,593 2,107,780 1,053,890 526,945 1,580,836 790,418 395,209 1,185,628 592,814 296,407 889,222 444,611 1,333,834 666,917 2,000,752 1,000,376 500,188 250,094 125,047 375,142 187,571 562,714 281,357 844,072 422,036 211,018 105,509

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