λ
Sequence Observatory
Atlas › Integer Profiles › Node 7,315,672

7,315,672

23 × 7 × 132 × 773
Abundant Even Composite

Starting at 7,315,672, the Collatz iteration reaches 1 after 266 steps. The first transition is 3657836; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13^2 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,997,040
Proper Divisor Sum 9,681,368
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7315667 ← → #7315673

Radix Representation

Decimal 7315672
Binary 11011111010000011011000 (23 bits)
Octal 0o33720330
Hexadecimal 0x6FA0D8

Divisor Catalog (48)

1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 773 1,183 1,352 1,546 2,366 3,092 4,732 5,411 6,184 9,464 10,049 10,822 20,098 21,644 40,196 43,288 70,343 80,392 130,637 140,686 261,274 281,372 522,548 562,744 914,459 1,045,096 1,828,918 3,657,836 7,315,672

Collatz Trajectory (266 steps to reach 1)

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

7,315,672 3,657,836 1,828,918 914,459 2,743,378 1,371,689 4,115,068 2,057,534 1,028,767 3,086,302 1,543,151 4,629,454 2,314,727 6,944,182 3,472,091 10,416,274 5,208,137 15,624,412 7,812,206 3,906,103 11,718,310 5,859,155 17,577,466 8,788,733 26,366,200 13,183,100 6,591,550 3,295,775 9,887,326 4,943,663 14,830,990 7,415,495 22,246,486 11,123,243 33,369,730 16,684,865 50,054,596 25,027,298 12,513,649 37,540,948 18,770,474 9,385,237 28,155,712 14,077,856 7,038,928 3,519,464 1,759,732 879,866 439,933 1,319,800 659,900 329,950 164,975 494,926 247,463 742,390 371,195 1,113,586 556,793 1,670,380

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