2,792,007

3² × 310223

Starting at 2,792,007, the Collatz iteration reaches 1 after 138 steps. The first transition is 8376022; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 310223

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,032,912

Proper Divisor Sum 1,240,905

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2791991 ← → #2792011

Radix Representation

Decimal	2792007
Binary	1010101001101001000111 (22 bits)
Octal	0o12515107
Hexadecimal	0x2A9A47

Divisor Catalog (6)

1 3 9 310,223 930,669 2,792,007

Collatz Trajectory (138 steps to reach 1)

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

2,792,007 8,376,022 4,188,011 12,564,034 6,282,017 18,846,052 9,423,026 4,711,513 14,134,540 7,067,270 3,533,635 10,600,906 5,300,453 15,901,360 7,950,680 3,975,340 1,987,670 993,835 2,981,506 1,490,753 4,472,260 2,236,130 1,118,065 3,354,196 1,677,098 838,549 2,515,648 1,257,824 628,912 314,456 157,228 78,614 39,307 117,922 58,961 176,884 88,442 44,221 132,664 66,332 33,166 16,583 49,750 24,875 74,626 37,313 111,940 55,970 27,985 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711

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