λ
Integer Codex

7,356,641

31 × 307 × 773
Deficient Odd Composite

For 7,356,641, the 8 positive divisors have a total of 7,628,544. Removing 7,356,641 leaves 271,903, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 307 × 773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,628,544
Proper Divisor Sum 271,903
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7356623 ← → #7356647

Radix Representation

Decimal 7356641
Binary 11100000100000011100001 (23 bits)
Octal 0o34040341
Hexadecimal 0x7040E1

Divisor Catalog (8)

1 31 307 773 9,517 23,963 237,311 7,356,641

Collatz Trajectory (142 steps to reach 1)

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

7,356,641 22,069,924 11,034,962 5,517,481 16,552,444 8,276,222 4,138,111 12,414,334 6,207,167 18,621,502 9,310,751 27,932,254 13,966,127 41,898,382 20,949,191 62,847,574 31,423,787 94,271,362 47,135,681 141,407,044 70,703,522 35,351,761 106,055,284 53,027,642 26,513,821 79,541,464 39,770,732 19,885,366 9,942,683 29,828,050 14,914,025 44,742,076 22,371,038 11,185,519 33,556,558 16,778,279 50,334,838 25,167,419 75,502,258 37,751,129 113,253,388 56,626,694 28,313,347 84,940,042 42,470,021 127,410,064 63,705,032 31,852,516 15,926,258 7,963,129 23,889,388 11,944,694 5,972,347 17,917,042 8,958,521 26,875,564 13,437,782 6,718,891 20,156,674 10,078,337

More profiles

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