5,631,640

2³ × 5 × 7 × 20113

Starting at 5,631,640, the Collatz iteration reaches 1 after 108 steps. The first transition is 2815820; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 20113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,482,080

Proper Divisor Sum 8,850,440

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5631629 ← → #5631671

Radix Representation

Decimal	5631640
Binary	10101011110111010011000 (23 bits)
Octal	0o25367230
Hexadecimal	0x55EE98

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 20,113 40,226 80,452 100,565 140,791 160,904 201,130 281,582 402,260 563,164 703,955 804,520 1,126,328 1,407,910 2,815,820 5,631,640

Collatz Trajectory (108 steps to reach 1)

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

5,631,640 2,815,820 1,407,910 703,955 2,111,866 1,055,933 3,167,800 1,583,900 791,950 395,975 1,187,926 593,963 1,781,890 890,945 2,672,836 1,336,418 668,209 2,004,628 1,002,314 501,157 1,503,472 751,736 375,868 187,934 93,967 281,902 140,951 422,854 211,427 634,282 317,141 951,424 475,712 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956

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