2,075,948

2² × 7 × 151 × 491

Starting at 2,075,948, the Collatz iteration reaches 1 after 73 steps. The first transition is 1037974; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 151 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,187,904

Proper Divisor Sum 2,111,956

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2075947 ← → #2075963

Radix Representation

Decimal	2075948
Binary	111111010110100101100 (21 bits)
Octal	0o7726454
Hexadecimal	0x1FAD2C

Divisor Catalog (24)

1 2 4 7 14 28 151 302 491 604 982 1,057 1,964 2,114 3,437 4,228 6,874 13,748 74,141 148,282 296,564 518,987 1,037,974 2,075,948

Collatz Trajectory (73 steps to reach 1)

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

2,075,948 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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