3,132,824

2³ × 79 × 4957

Starting at 3,132,824, the Collatz iteration reaches 1 after 164 steps. The first transition is 1566412; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 79 × 4957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,949,600

Proper Divisor Sum 2,816,776

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3132823 ← → #3132839

Radix Representation

Decimal	3132824
Binary	1011111100110110011000 (22 bits)
Octal	0o13746630
Hexadecimal	0x2FCD98

Divisor Catalog (16)

1 2 4 8 79 158 316 632 4,957 9,914 19,828 39,656 391,603 783,206 1,566,412 3,132,824

Collatz Trajectory (164 steps to reach 1)

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

3,132,824 1,566,412 783,206 391,603 1,174,810 587,405 1,762,216 881,108 440,554 220,277 660,832 330,416 165,208 82,604 41,302 20,651 61,954 30,977 92,932 46,466 23,233 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94

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