2,007,788

2² × 501947

Starting at 2,007,788, the Collatz iteration reaches 1 after 65 steps. The first transition is 1003894; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 501947

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,513,636

Proper Divisor Sum 1,505,848

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2007773 ← → #2007791

Radix Representation

Decimal	2007788
Binary	111101010001011101100 (21 bits)
Octal	0o7521354
Hexadecimal	0x1EA2EC

Divisor Catalog (6)

1 2 4 501,947 1,003,894 2,007,788

Collatz Trajectory (65 steps to reach 1)

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

2,007,788 1,003,894 501,947 1,505,842 752,921 2,258,764 1,129,382 564,691 1,694,074 847,037 2,541,112 1,270,556 635,278 317,639 952,918 476,459 1,429,378 714,689 2,144,068 1,072,034 536,017 1,608,052 804,026 402,013 1,206,040 603,020 301,510 150,755 452,266 226,133 678,400 339,200 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

← Previous Integer #2,007,787 Browse Full Index Next Integer #2,007,789 →