748,692

2² × 3² × 7 × 2971

Starting at 748,692, the Collatz iteration reaches 1 after 211 steps. The first transition is 374346; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 2971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,163,616

Proper Divisor Sum 1,414,924

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #748691 ← → #748703

Radix Representation

Decimal	748692
Binary	10110110110010010100 (20 bits)
Octal	0o2666224
Hexadecimal	0xB6C94

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2,971 5,942 8,913 11,884 17,826 20,797 26,739 35,652 41,594 53,478 62,391 83,188 106,956 124,782 187,173 249,564 374,346 748,692

Collatz Trajectory (211 steps to reach 1)

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

748,692 374,346 187,173 561,520 280,760 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510

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