277,777

229 × 1213

Starting at 277,777, the Collatz iteration reaches 1 after 145 steps. The first transition is 833332; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 229 × 1213

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 279,220

Proper Divisor Sum 1,443

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #277757 ← → #277787

Radix Representation

Decimal	277777
Binary	1000011110100010001 (19 bits)
Octal	0o1036421
Hexadecimal	0x43D11

Divisor Catalog (4)

1 229 1,213 277,777

Collatz Trajectory (145 steps to reach 1)

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

277,777 833,332 416,666 208,333 625,000 312,500 156,250 78,125 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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