λ
Integer Codex

5,157,967

5157967
Deficient Odd Prime

For 5,157,967, the 2 positive divisors have a total of 5,157,968. Removing 5,157,967 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 5157967
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,157,968
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5157947 ← → #5157983

Radix Representation

Decimal 5157967
Binary 10011101011010001001111 (23 bits)
Octal 0o23532117
Hexadecimal 0x4EB44F

Divisor Catalog (2)

1 5,157,967

Collatz Trajectory (126 steps to reach 1)

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

5,157,967 15,473,902 7,736,951 23,210,854 11,605,427 34,816,282 17,408,141 52,224,424 26,112,212 13,056,106 6,528,053 19,584,160 9,792,080 4,896,040 2,448,020 1,224,010 612,005 1,836,016 918,008 459,004 229,502 114,751 344,254 172,127 516,382 258,191 774,574 387,287 1,161,862 580,931 1,742,794 871,397 2,614,192 1,307,096 653,548 326,774 163,387 490,162 245,081 735,244 367,622 183,811 551,434 275,717 827,152 413,576 206,788 103,394 51,697 155,092 77,546 38,773 116,320 58,160 29,080 14,540 7,270 3,635 10,906 5,453

More profiles

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