3,681,460

2² × 5 × 184073

Starting at 3,681,460, the Collatz iteration reaches 1 after 141 steps. The first transition is 1840730; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 184073

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,731,108

Proper Divisor Sum 4,049,648

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3681451 ← → #3681481

Radix Representation

Decimal	3681460
Binary	1110000010110010110100 (22 bits)
Octal	0o16026264
Hexadecimal	0x382CB4

Divisor Catalog (12)

1 2 4 5 10 20 184,073 368,146 736,292 920,365 1,840,730 3,681,460

Collatz Trajectory (141 steps to reach 1)

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

3,681,460 1,840,730 920,365 2,761,096 1,380,548 690,274 345,137 1,035,412 517,706 258,853 776,560 388,280 194,140 97,070 48,535 145,606 72,803 218,410 109,205 327,616 163,808 81,904 40,952 20,476 10,238 5,119 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129

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