1,038,765

3 × 5 × 7 × 13 × 761

Starting at 1,038,765, the Collatz iteration reaches 1 after 196 steps. The first transition is 3116296; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 761

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,048,256

Proper Divisor Sum 1,009,491

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1038757 ← → #1038797

Radix Representation

Decimal	1038765
Binary	11111101100110101101 (20 bits)
Octal	0o3754655
Hexadecimal	0xFD9AD

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 761 1,365 2,283 3,805 5,327 9,893 11,415 15,981 26,635 29,679 49,465 69,251 79,905 148,395 207,753 346,255 1,038,765

Collatz Trajectory (196 steps to reach 1)

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

1,038,765 3,116,296 1,558,148 779,074 389,537 1,168,612 584,306 292,153 876,460 438,230 219,115 657,346 328,673 986,020 493,010 246,505 739,516 369,758 184,879 554,638 277,319 831,958 415,979 1,247,938 623,969 1,871,908 935,954 467,977 1,403,932 701,966 350,983 1,052,950 526,475 1,579,426 789,713 2,369,140 1,184,570 592,285 1,776,856 888,428 444,214 222,107 666,322 333,161 999,484 499,742 249,871 749,614 374,807 1,124,422 562,211 1,686,634 843,317 2,529,952 1,264,976 632,488 316,244 158,122 79,061 237,184

← Previous Integer #1,038,764 Browse Full Index Next Integer #1,038,766 →