9,402,484

2² × 7 × 13² × 1987

Starting at 9,402,484, the Collatz iteration reaches 1 after 132 steps. The first transition is 4701242; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 1987

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,373,024

Proper Divisor Sum 10,970,540

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9402461 ← → #9402493

Radix Representation

Decimal	9402484
Binary	100011110111100001110100 (24 bits)
Octal	0o43674164
Hexadecimal	0x8F7874

Divisor Catalog (36)

1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1,183 1,987 2,366 3,974 4,732 7,948 13,909 25,831 27,818 51,662 55,636 103,324 180,817 335,803 361,634 671,606 723,268 1,343,212 2,350,621 4,701,242 9,402,484

Collatz Trajectory (132 steps to reach 1)

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

9,402,484 4,701,242 2,350,621 7,051,864 3,525,932 1,762,966 881,483 2,644,450 1,322,225 3,966,676 1,983,338 991,669 2,975,008 1,487,504 743,752 371,876 185,938 92,969 278,908 139,454 69,727 209,182 104,591 313,774 156,887 470,662 235,331 705,994 352,997 1,058,992 529,496 264,748 132,374 66,187 198,562 99,281 297,844 148,922 74,461 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642

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