7,361,852

2² × 79 × 23297

Starting at 7,361,852, the Collatz iteration reaches 1 after 98 steps. The first transition is 3680926; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 79 × 23297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,046,880

Proper Divisor Sum 5,685,028

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7361839 ← → #7361881

Radix Representation

Decimal	7361852
Binary	11100000101010100111100 (23 bits)
Octal	0o34052474
Hexadecimal	0x70553C

Divisor Catalog (12)

1 2 4 79 158 316 23,297 46,594 93,188 1,840,463 3,680,926 7,361,852

Collatz Trajectory (98 steps to reach 1)

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

7,361,852 3,680,926 1,840,463 5,521,390 2,760,695 8,282,086 4,141,043 12,423,130 6,211,565 18,634,696 9,317,348 4,658,674 2,329,337 6,988,012 3,494,006 1,747,003 5,241,010 2,620,505 7,861,516 3,930,758 1,965,379 5,896,138 2,948,069 8,844,208 4,422,104 2,211,052 1,105,526 552,763 1,658,290 829,145 2,487,436 1,243,718 621,859 1,865,578 932,789 2,798,368 1,399,184 699,592 349,796 174,898 87,449 262,348 131,174 65,587 196,762 98,381 295,144 147,572 73,786 36,893 110,680 55,340 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696

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