7,004,388

2² × 3 × 19 × 31 × 991

Starting at 7,004,388, the Collatz iteration reaches 1 after 191 steps. The first transition is 3502194; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 31 × 991

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,776,640

Proper Divisor Sum 10,772,252

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7004383 ← → #7004401

Radix Representation

Decimal	7004388
Binary	11010101110000011100100 (23 bits)
Octal	0o32560344
Hexadecimal	0x6AE0E4

Divisor Catalog (48)

1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 991 1,178 1,767 1,982 2,356 2,973 3,534 3,964 5,946 7,068 11,892 18,829 30,721 37,658 56,487 61,442 75,316 92,163 112,974 122,884 184,326 225,948 368,652 583,699 1,167,398 1,751,097 2,334,796 3,502,194 7,004,388

Collatz Trajectory (191 steps to reach 1)

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

7,004,388 3,502,194 1,751,097 5,253,292 2,626,646 1,313,323 3,939,970 1,969,985 5,909,956 2,954,978 1,477,489 4,432,468 2,216,234 1,108,117 3,324,352 1,662,176 831,088 415,544 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428

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