665,988

2² × 3 × 19 × 23 × 127

Starting at 665,988, the Collatz iteration reaches 1 after 141 steps. The first transition is 332994; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 23 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,720,320

Proper Divisor Sum 1,054,332

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #665983 ← → #665993

Radix Representation

Decimal	665988
Binary	10100010100110000100 (20 bits)
Octal	0o2424604
Hexadecimal	0xA2984

Divisor Catalog (48)

1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 127 138 228 254 276 381 437 508 762 874 1,311 1,524 1,748 2,413 2,622 2,921 4,826 5,244 5,842 7,239 8,763 9,652 11,684 14,478 17,526 28,956 35,052 55,499 110,998 166,497 221,996 332,994 665,988

Collatz Trajectory (141 steps to reach 1)

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

665,988 332,994 166,497 499,492 249,746 124,873 374,620 187,310 93,655 280,966 140,483 421,450 210,725 632,176 316,088 158,044 79,022 39,511 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226

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