7,294,014

2 × 3² × 7 × 13 × 61 × 73

Starting at 7,294,014, the Collatz iteration reaches 1 after 111 steps. The first transition is 3647007; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 61 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,040,384

Proper Divisor Sum 12,746,370

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7293989 ← → #7294093

Radix Representation

Decimal	7294014
Binary	11011110100110000111110 (23 bits)
Octal	0o33646076
Hexadecimal	0x6F4C3E

Divisor Catalog (60 of 96)

1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 73 78 91 117 122 126 146 182 183 219 234 273 366 427 438 511 546 549 657 793 819 854 949 1,022 1,098 1,281 1,314 1,533 1,586 1,638 1,898 2,379 2,562 2,847 3,066 3,843 4,453 4,599 4,758 5,551 5,694 6,643 7,137 7,686 8,541

Collatz Trajectory (111 steps to reach 1)

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

7,294,014 3,647,007 10,941,022 5,470,511 16,411,534 8,205,767 24,617,302 12,308,651 36,925,954 18,462,977 55,388,932 27,694,466 13,847,233 41,541,700 20,770,850 10,385,425 31,156,276 15,578,138 7,789,069 23,367,208 11,683,604 5,841,802 2,920,901 8,762,704 4,381,352 2,190,676 1,095,338 547,669 1,643,008 821,504 410,752 205,376 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715

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