977,999

11 × 67 × 1327

Starting at 977,999, the Collatz iteration reaches 1 after 152 steps. The first transition is 2933998; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 67 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,083,648

Proper Divisor Sum 105,649

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #977971 ← → #978001

Radix Representation

Decimal	977999
Binary	11101110110001001111 (20 bits)
Octal	0o3566117
Hexadecimal	0xEEC4F

Divisor Catalog (8)

1 11 67 737 1,327 14,597 88,909 977,999

Collatz Trajectory (152 steps to reach 1)

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

977,999 2,933,998 1,466,999 4,400,998 2,200,499 6,601,498 3,300,749 9,902,248 4,951,124 2,475,562 1,237,781 3,713,344 1,856,672 928,336 464,168 232,084 116,042 58,021 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223

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