1,340,235

3² × 5 × 13 × 29 × 79

Starting at 1,340,235, the Collatz iteration reaches 1 after 142 steps. The first transition is 4020706; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 29 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,620,800

Proper Divisor Sum 1,280,565

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1340221 ← → #1340237

Radix Representation

Decimal	1340235
Binary	101000111001101001011 (21 bits)
Octal	0o5071513
Hexadecimal	0x14734B

Divisor Catalog (48)

1 3 5 9 13 15 29 39 45 65 79 87 117 145 195 237 261 377 395 435 585 711 1,027 1,131 1,185 1,305 1,885 2,291 3,081 3,393 3,555 5,135 5,655 6,873 9,243 11,455 15,405 16,965 20,619 29,783 34,365 46,215 89,349 103,095 148,915 268,047 446,745 1,340,235

Collatz Trajectory (142 steps to reach 1)

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

1,340,235 4,020,706 2,010,353 6,031,060 3,015,530 1,507,765 4,523,296 2,261,648 1,130,824 565,412 282,706 141,353 424,060 212,030 106,015 318,046 159,023 477,070 238,535 715,606 357,803 1,073,410 536,705 1,610,116 805,058 402,529 1,207,588 603,794 301,897 905,692 452,846 226,423 679,270 339,635 1,018,906 509,453 1,528,360 764,180 382,090 191,045 573,136 286,568 143,284 71,642 35,821 107,464 53,732 26,866 13,433 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010

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