551,228

2² × 19 × 7253

Starting at 551,228, the Collatz iteration reaches 1 after 164 steps. The first transition is 275614; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 7253

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,015,560

Proper Divisor Sum 464,332

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #551219 ← → #551231

Radix Representation

Decimal	551228
Binary	10000110100100111100 (20 bits)
Octal	0o2064474
Hexadecimal	0x8693C

Divisor Catalog (12)

1 2 4 19 38 76 7,253 14,506 29,012 137,807 275,614 551,228

Collatz Trajectory (164 steps to reach 1)

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

551,228 275,614 137,807 413,422 206,711 620,134 310,067 930,202 465,101 1,395,304 697,652 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497

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