1,679,456

2⁵ × 31 × 1693

Starting at 1,679,456, the Collatz iteration reaches 1 after 145 steps. The first transition is 839728; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 31 × 1693

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,415,104

Proper Divisor Sum 1,735,648

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1679443 ← → #1679459

Radix Representation

Decimal	1679456
Binary	110011010000001100000 (21 bits)
Octal	0o6320140
Hexadecimal	0x19A060

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 1,693 3,386 6,772 13,544 27,088 52,483 54,176 104,966 209,932 419,864 839,728 1,679,456

Collatz Trajectory (145 steps to reach 1)

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

1,679,456 839,728 419,864 209,932 104,966 52,483 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464 85,232 42,616 21,308 10,654

← Previous Integer #1,679,455 Browse Full Index Next Integer #1,679,457 →