7,390,684

2² × 7 × 263953

Starting at 7,390,684, the Collatz iteration reaches 1 after 165 steps. The first transition is 3695342; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 263953

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,781,424

Proper Divisor Sum 7,390,740

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7390673 ← → #7390693

Radix Representation

Decimal	7390684
Binary	11100001100010111011100 (23 bits)
Octal	0o34142734
Hexadecimal	0x70C5DC

Divisor Catalog (12)

1 2 4 7 14 28 263,953 527,906 1,055,812 1,847,671 3,695,342 7,390,684

Collatz Trajectory (165 steps to reach 1)

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

7,390,684 3,695,342 1,847,671 5,543,014 2,771,507 8,314,522 4,157,261 12,471,784 6,235,892 3,117,946 1,558,973 4,676,920 2,338,460 1,169,230 584,615 1,753,846 876,923 2,630,770 1,315,385 3,946,156 1,973,078 986,539 2,959,618 1,479,809 4,439,428 2,219,714 1,109,857 3,329,572 1,664,786 832,393 2,497,180 1,248,590 624,295 1,872,886 936,443 2,809,330 1,404,665 4,213,996 2,106,998 1,053,499 3,160,498 1,580,249 4,740,748 2,370,374 1,185,187 3,555,562 1,777,781 5,333,344 2,666,672 1,333,336 666,668 333,334 166,667 500,002 250,001 750,004 375,002 187,501 562,504 281,252

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