1,553,780

2² × 5 × 77689

Starting at 1,553,780, the Collatz iteration reaches 1 after 194 steps. The first transition is 776890; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 77689

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,262,980

Proper Divisor Sum 1,709,200

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1553771 ← → #1553803

Radix Representation

Decimal	1553780
Binary	101111011010101110100 (21 bits)
Octal	0o5732564
Hexadecimal	0x17B574

Divisor Catalog (12)

1 2 4 5 10 20 77,689 155,378 310,756 388,445 776,890 1,553,780

Collatz Trajectory (194 steps to reach 1)

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

1,553,780 776,890 388,445 1,165,336 582,668 291,334 145,667 437,002 218,501 655,504 327,752 163,876 81,938 40,969 122,908 61,454 30,727 92,182 46,091 138,274 69,137 207,412 103,706 51,853 155,560 77,780 38,890 19,445 58,336 29,168 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646

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