980,967

3 × 13 × 25153

Starting at 980,967, the Collatz iteration reaches 1 after 152 steps. The first transition is 2942902; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 25153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,408,624

Proper Divisor Sum 427,657

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #980963 ← → #980999

Radix Representation

Decimal	980967
Binary	11101111011111100111 (20 bits)
Octal	0o3573747
Hexadecimal	0xEF7E7

Divisor Catalog (8)

1 3 13 39 25,153 75,459 326,989 980,967

Collatz Trajectory (152 steps to reach 1)

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

980,967 2,942,902 1,471,451 4,414,354 2,207,177 6,621,532 3,310,766 1,655,383 4,966,150 2,483,075 7,449,226 3,724,613 11,173,840 5,586,920 2,793,460 1,396,730 698,365 2,095,096 1,047,548 523,774 261,887 785,662 392,831 1,178,494 589,247 1,767,742 883,871 2,651,614 1,325,807 3,977,422 1,988,711 5,966,134 2,983,067 8,949,202 4,474,601 13,423,804 6,711,902 3,355,951 10,067,854 5,033,927 15,101,782 7,550,891 22,652,674 11,326,337 33,979,012 16,989,506 8,494,753 25,484,260 12,742,130 6,371,065 19,113,196 9,556,598 4,778,299 14,334,898 7,167,449 21,502,348 10,751,174 5,375,587 16,126,762 8,063,381

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