7,427,166

2 × 3 × 31 × 73 × 547

Starting at 7,427,166, the Collatz iteration reaches 1 after 142 steps. The first transition is 3713583; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 73 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,571,968

Proper Divisor Sum 8,144,802

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7427159 ← → #7427209

Radix Representation

Decimal	7427166
Binary	11100010101010001011110 (23 bits)
Octal	0o34252136
Hexadecimal	0x71545E

Divisor Catalog (32)

1 2 3 6 31 62 73 93 146 186 219 438 547 1,094 1,641 2,263 3,282 4,526 6,789 13,578 16,957 33,914 39,931 50,871 79,862 101,742 119,793 239,586 1,237,861 2,475,722 3,713,583 7,427,166

Collatz Trajectory (142 steps to reach 1)

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

7,427,166 3,713,583 11,140,750 5,570,375 16,711,126 8,355,563 25,066,690 12,533,345 37,600,036 18,800,018 9,400,009 28,200,028 14,100,014 7,050,007 21,150,022 10,575,011 31,725,034 15,862,517 47,587,552 23,793,776 11,896,888 5,948,444 2,974,222 1,487,111 4,461,334 2,230,667 6,692,002 3,346,001 10,038,004 5,019,002 2,509,501 7,528,504 3,764,252 1,882,126 941,063 2,823,190 1,411,595 4,234,786 2,117,393 6,352,180 3,176,090 1,588,045 4,764,136 2,382,068 1,191,034 595,517 1,786,552 893,276 446,638 223,319 669,958 334,979 1,004,938 502,469 1,507,408 753,704 376,852 188,426 94,213 282,640

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