1,402,758

2 × 3⁴ × 7 × 1237

Starting at 1,402,758, the Collatz iteration reaches 1 after 199 steps. The first transition is 701379; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,595,152

Proper Divisor Sum 2,192,394

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1402727 ← → #1402763

Radix Representation

Decimal	1402758
Binary	101010110011110000110 (21 bits)
Octal	0o5263606
Hexadecimal	0x156786

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 1,237 2,474 3,711 7,422 8,659 11,133 17,318 22,266 25,977 33,399 51,954 66,798 77,931 100,197 155,862 200,394 233,793 467,586 701,379 1,402,758

Collatz Trajectory (199 steps to reach 1)

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

1,402,758 701,379 2,104,138 1,052,069 3,156,208 1,578,104 789,052 394,526 197,263 591,790 295,895 887,686 443,843 1,331,530 665,765 1,997,296 998,648 499,324 249,662 124,831 374,494 187,247 561,742 280,871 842,614 421,307 1,263,922 631,961 1,895,884 947,942 473,971 1,421,914 710,957 2,132,872 1,066,436 533,218 266,609 799,828 399,914 199,957 599,872 299,936 149,968 74,984 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900

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