7,931,066

2 × 11² × 13 × 2521

Starting at 7,931,066, the Collatz iteration reaches 1 after 155 steps. The first transition is 3965533; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 13 × 2521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,087,892

Proper Divisor Sum 6,156,826

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7931041 ← → #7931101

Radix Representation

Decimal	7931066
Binary	11110010000010010111010 (23 bits)
Octal	0o36202272
Hexadecimal	0x7904BA

Divisor Catalog (24)

1 2 11 13 22 26 121 143 242 286 1,573 2,521 3,146 5,042 27,731 32,773 55,462 65,546 305,041 360,503 610,082 721,006 3,965,533 7,931,066

Collatz Trajectory (155 steps to reach 1)

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

7,931,066 3,965,533 11,896,600 5,948,300 2,974,150 1,487,075 4,461,226 2,230,613 6,691,840 3,345,920 1,672,960 836,480 418,240 209,120 104,560 52,280 26,140 13,070 6,535 19,606 9,803 29,410 14,705 44,116 22,058 11,029 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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