2,650,053

3 × 7 × 53 × 2381

Starting at 2,650,053, the Collatz iteration reaches 1 after 125 steps. The first transition is 7950160; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,116,096

Proper Divisor Sum 1,466,043

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2650033 ← → #2650057

Radix Representation

Decimal	2650053
Binary	1010000110111111000101 (22 bits)
Octal	0o12067705
Hexadecimal	0x286FC5

Divisor Catalog (16)

1 3 7 21 53 159 371 1,113 2,381 7,143 16,667 50,001 126,193 378,579 883,351 2,650,053

Collatz Trajectory (125 steps to reach 1)

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

2,650,053 7,950,160 3,975,080 1,987,540 993,770 496,885 1,490,656 745,328 372,664 186,332 93,166 46,583 139,750 69,875 209,626 104,813 314,440 157,220 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811

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