λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,688,032

1,688,032

25 × 17 × 29 × 107
Abundant Even Composite

Starting at 1,688,032, the Collatz iteration reaches 1 after 132 steps. The first transition is 844016; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 29 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,674,160
Proper Divisor Sum 1,986,128
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1687999 ← → #1688041

Radix Representation

Decimal 1688032
Binary 110011100000111100000 (21 bits)
Octal 0o6340740
Hexadecimal 0x19C1E0

Divisor Catalog (48)

1 2 4 8 16 17 29 32 34 58 68 107 116 136 214 232 272 428 464 493 544 856 928 986 1,712 1,819 1,972 3,103 3,424 3,638 3,944 6,206 7,276 7,888 12,412 14,552 15,776 24,824 29,104 49,648 52,751 58,208 99,296 105,502 211,004 422,008 844,016 1,688,032

Collatz Trajectory (132 steps to reach 1)

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

1,688,032 844,016 422,008 211,004 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971
← Previous Integer #1,688,031 Browse Full Index Next Integer #1,688,033 →