7,115,367

3 × 7 × 17 × 19 × 1049

Starting at 7,115,367, the Collatz iteration reaches 1 after 310 steps. The first transition is 21346102; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 19 × 1049

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,096,000

Proper Divisor Sum 4,980,633

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7115363 ← → #7115387

Radix Representation

Decimal	7115367
Binary	11011001001001001100111 (23 bits)
Octal	0o33111147
Hexadecimal	0x6C9267

Divisor Catalog (32)

1 3 7 17 19 21 51 57 119 133 323 357 399 969 1,049 2,261 3,147 6,783 7,343 17,833 19,931 22,029 53,499 59,793 124,831 139,517 338,827 374,493 418,551 1,016,481 2,371,789 7,115,367

Collatz Trajectory (310 steps to reach 1)

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

7,115,367 21,346,102 10,673,051 32,019,154 16,009,577 48,028,732 24,014,366 12,007,183 36,021,550 18,010,775 54,032,326 27,016,163 81,048,490 40,524,245 121,572,736 60,786,368 30,393,184 15,196,592 7,598,296 3,799,148 1,899,574 949,787 2,849,362 1,424,681 4,274,044 2,137,022 1,068,511 3,205,534 1,602,767 4,808,302 2,404,151 7,212,454 3,606,227 10,818,682 5,409,341 16,228,024 8,114,012 4,057,006 2,028,503 6,085,510 3,042,755 9,128,266 4,564,133 13,692,400 6,846,200 3,423,100 1,711,550 855,775 2,567,326 1,283,663 3,850,990 1,925,495 5,776,486 2,888,243 8,664,730 4,332,365 12,997,096 6,498,548 3,249,274 1,624,637

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