1,367,940

2² × 3 × 5 × 7 × 3257

Starting at 1,367,940, the Collatz iteration reaches 1 after 111 steps. The first transition is 683970; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 3257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,378,752

Proper Divisor Sum 3,010,812

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1367929 ← → #1367953

Radix Representation

Decimal	1367940
Binary	101001101111110000100 (21 bits)
Octal	0o5157604
Hexadecimal	0x14DF84

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3,257 6,514 9,771 13,028 16,285 19,542 22,799 32,570 39,084 45,598 48,855 65,140 68,397 91,196 97,710 113,995 136,794 195,420 227,990 273,588 341,985 455,980 683,970 1,367,940

Collatz Trajectory (111 steps to reach 1)

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

1,367,940 683,970 341,985 1,025,956 512,978 256,489 769,468 384,734 192,367 577,102 288,551 865,654 432,827 1,298,482 649,241 1,947,724 973,862 486,931 1,460,794 730,397 2,191,192 1,095,596 547,798 273,899 821,698 410,849 1,232,548 616,274 308,137 924,412 462,206 231,103 693,310 346,655 1,039,966 519,983 1,559,950 779,975 2,339,926 1,169,963 3,509,890 1,754,945 5,264,836 2,632,418 1,316,209 3,948,628 1,974,314 987,157 2,961,472 1,480,736 740,368 370,184 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058

← Previous Integer #1,367,939 Browse Full Index Next Integer #1,367,941 →