1,959,808

2⁷ × 61 × 251

Starting at 1,959,808, the Collatz iteration reaches 1 after 91 steps. The first transition is 979904; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 61 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,984,120

Proper Divisor Sum 2,024,312

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1959799 ← → #1959821

Radix Representation

Decimal	1959808
Binary	111011110011110000000 (21 bits)
Octal	0o7363600
Hexadecimal	0x1DE780

Divisor Catalog (32)

1 2 4 8 16 32 61 64 122 128 244 251 488 502 976 1,004 1,952 2,008 3,904 4,016 7,808 8,032 15,311 16,064 30,622 32,128 61,244 122,488 244,976 489,952 979,904 1,959,808

Collatz Trajectory (91 steps to reach 1)

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

1,959,808 979,904 489,952 244,976 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346

← Previous Integer #1,959,807 Browse Full Index Next Integer #1,959,809 →