λ
Sequence Observatory

3,225,495

3 × 5 × 7 × 13 × 17 × 139
Abundant Odd Composite

Starting at 3,225,495, the Collatz iteration reaches 1 after 76 steps. The first transition is 9676486; the starting value is odd with 64 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 17 × 139
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 3,548,265
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3225493 ← → #3225499

Radix Representation

Decimal 3225495
Binary 1100010011011110010111 (22 bits)
Octal 0o14233627
Hexadecimal 0x313797

Divisor Catalog (60 of 64)

1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 139 195 221 255 273 357 417 455 595 663 695 973 1,105 1,365 1,547 1,785 1,807 2,085 2,363 2,919 3,315 4,641 4,865 5,421 7,089 7,735 9,035 11,815 12,649 14,595 16,541 23,205 27,105 30,719 35,445 37,947 49,623 63,245 82,705 92,157 153,595 189,735 215,033 248,115

Collatz Trajectory (76 steps to reach 1)

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

3,225,495 9,676,486 4,838,243 14,514,730 7,257,365 21,772,096 10,886,048 5,443,024 2,721,512 1,360,756 680,378 340,189 1,020,568 510,284 255,142 127,571 382,714 191,357 574,072 287,036 143,518 71,759 215,278 107,639 322,918 161,459 484,378 242,189 726,568 363,284 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412

More profiles

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