λ
Sequence Observatory

351,118

2 × 17 × 23 × 449
Deficient Even Composite

Starting at 351,118, the Collatz iteration reaches 1 after 272 steps. The first transition is 175559; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 583,200
Proper Divisor Sum 232,082
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #351097 ← → #351121

Radix Representation

Decimal 351118
Binary 1010101101110001110 (19 bits)
Octal 0o1255616
Hexadecimal 0x55B8E

Divisor Catalog (16)

1 2 17 23 34 46 391 449 782 898 7,633 10,327 15,266 20,654 175,559 351,118

Collatz Trajectory (272 steps to reach 1)

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

351,118 175,559 526,678 263,339 790,018 395,009 1,185,028 592,514 296,257 888,772 444,386 222,193 666,580 333,290 166,645 499,936 249,968 124,984 62,492 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185

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