λ
Harmonic Matrix

3,746,549

3746549
Deficient Odd Prime

3,746,549 has digital root 2. The neighboring primes are 3746527 and 3746551; its proper-divisor sum differs from the starting integer by -3,746,548.

Prime Factor Structure

Factorization String 3746549
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,746,550
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3746527 ← → #3746551

Radix Representation

Decimal 3746549
Binary 1110010010101011110101 (22 bits)
Octal 0o16225365
Hexadecimal 0x392AF5

Divisor Catalog (2)

Collatz Trajectory (159 steps to reach 1)

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

3,746,549 11,239,648 5,619,824 2,809,912 1,404,956 702,478 351,239 1,053,718 526,859 1,580,578 790,289 2,370,868 1,185,434 592,717 1,778,152 889,076 444,538 222,269 666,808 333,404 166,702 83,351 250,054 125,027 375,082 187,541 562,624 281,312 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964

More profiles

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