8,379,987

3 × 7 × 11 × 36277

Starting at 8,379,987, the Collatz iteration reaches 1 after 137 steps. The first transition is 25139962; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 36277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,930,752

Proper Divisor Sum 5,550,765

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #8379961 ← → #8380037

Radix Representation

Decimal	8379987
Binary	11111111101111001010011 (23 bits)
Octal	0o37757123
Hexadecimal	0x7FDE53

Divisor Catalog (16)

1 3 7 11 21 33 77 231 36,277 108,831 253,939 399,047 761,817 1,197,141 2,793,329 8,379,987

Collatz Trajectory (137 steps to reach 1)

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

8,379,987 25,139,962 12,569,981 37,709,944 18,854,972 9,427,486 4,713,743 14,141,230 7,070,615 21,211,846 10,605,923 31,817,770 15,908,885 47,726,656 23,863,328 11,931,664 5,965,832 2,982,916 1,491,458 745,729 2,237,188 1,118,594 559,297 1,677,892 838,946 419,473 1,258,420 629,210 314,605 943,816 471,908 235,954 117,977 353,932 176,966 88,483 265,450 132,725 398,176 199,088 99,544 49,772 24,886 12,443 37,330 18,665 55,996 27,998 13,999 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156

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