7,133,742

2 × 3² × 7 × 11 × 5147

Starting at 7,133,742, the Collatz iteration reaches 1 after 98 steps. The first transition is 3566871; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 5147

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,274,112

Proper Divisor Sum 12,140,370

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7133729 ← → #7133771

Radix Representation

Decimal	7133742
Binary	11011001101101000101110 (23 bits)
Octal	0o33155056
Hexadecimal	0x6CDA2E

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1,386 5,147 10,294 15,441 30,882 36,029 46,323 56,617 72,058 92,646 108,087 113,234 169,851 216,174 324,261 339,702 396,319 509,553 648,522 792,638 1,019,106 1,188,957 2,377,914 3,566,871 7,133,742

Collatz Trajectory (98 steps to reach 1)

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

7,133,742 3,566,871 10,700,614 5,350,307 16,050,922 8,025,461 24,076,384 12,038,192 6,019,096 3,009,548 1,504,774 752,387 2,257,162 1,128,581 3,385,744 1,692,872 846,436 423,218 211,609 634,828 317,414 158,707 476,122 238,061 714,184 357,092 178,546 89,273 267,820 133,910 66,955 200,866 100,433 301,300 150,650 75,325 225,976 112,988 56,494 28,247 84,742 42,371 127,114 63,557 190,672 95,336 47,668 23,834 11,917 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258

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