8,375,652

2² × 3² × 197 × 1181

Starting at 8,375,652, the Collatz iteration reaches 1 after 62 steps. The first transition is 4187826; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 197 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,297,276

Proper Divisor Sum 12,921,624

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8375641 ← → #8375663

Radix Representation

Decimal	8375652
Binary	11111111100110101100100 (23 bits)
Octal	0o37746544
Hexadecimal	0x7FCD64

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 197 394 591 788 1,181 1,182 1,773 2,362 2,364 3,543 3,546 4,724 7,086 7,092 10,629 14,172 21,258 42,516 232,657 465,314 697,971 930,628 1,395,942 2,093,913 2,791,884 4,187,826 8,375,652

Collatz Trajectory (62 steps to reach 1)

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

8,375,652 4,187,826 2,093,913 6,281,740 3,140,870 1,570,435 4,711,306 2,355,653 7,066,960 3,533,480 1,766,740 883,370 441,685 1,325,056 662,528 331,264 165,632 82,816 41,408 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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