λ
Harmonic Matrix

5,917,191

3 × 72 × 40253
Deficient Odd Composite

5,917,191 has digital root 6. The neighboring primes are 5917181 and 5917201; its proper-divisor sum differs from the starting integer by -2,656,470.

Prime Factor Structure

Factorization String 3 × 7^2 × 40253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,177,912
Proper Divisor Sum 3,260,721
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5917181 ← → #5917201

Radix Representation

Decimal 5917191
Binary 10110100100101000000111 (23 bits)
Octal 0o26445007
Hexadecimal 0x5A4A07

Divisor Catalog (12)

1 3 7 21 49 147 40,253 120,759 281,771 845,313 1,972,397 5,917,191

Collatz Trajectory (170 steps to reach 1)

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

5,917,191 17,751,574 8,875,787 26,627,362 13,313,681 39,941,044 19,970,522 9,985,261 29,955,784 14,977,892 7,488,946 3,744,473 11,233,420 5,616,710 2,808,355 8,425,066 4,212,533 12,637,600 6,318,800 3,159,400 1,579,700 789,850 394,925 1,184,776 592,388 296,194 148,097 444,292 222,146 111,073 333,220 166,610 83,305 249,916 124,958 62,479 187,438 93,719 281,158 140,579 421,738 210,869 632,608 316,304 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241 66,724 33,362 16,681 50,044 25,022 12,511 37,534

More profiles

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