7,487,166

2 × 3 × 1247861

Starting at 7,487,166, the Collatz iteration reaches 1 after 279 steps. The first transition is 3743583; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1247861

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,974,344

Proper Divisor Sum 7,487,178

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7487149 ← → #7487171

Radix Representation

Decimal	7487166
Binary	11100100011111010111110 (23 bits)
Octal	0o34437276
Hexadecimal	0x723EBE

Divisor Catalog (8)

1 2 3 6 1,247,861 2,495,722 3,743,583 7,487,166

Collatz Trajectory (279 steps to reach 1)

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

7,487,166 3,743,583 11,230,750 5,615,375 16,846,126 8,423,063 25,269,190 12,634,595 37,903,786 18,951,893 56,855,680 28,427,840 14,213,920 7,106,960 3,553,480 1,776,740 888,370 444,185 1,332,556 666,278 333,139 999,418 499,709 1,499,128 749,564 374,782 187,391 562,174 281,087 843,262 421,631 1,264,894 632,447 1,897,342 948,671 2,846,014 1,423,007 4,269,022 2,134,511 6,403,534 3,201,767 9,605,302 4,802,651 14,407,954 7,203,977 21,611,932 10,805,966 5,402,983 16,208,950 8,104,475 24,313,426 12,156,713 36,470,140 18,235,070 9,117,535 27,352,606 13,676,303 41,028,910 20,514,455 61,543,366

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