λ
Harmonic Matrix

3,677,473

3677473
Deficient Odd Prime

3,677,473 has digital root 1. The neighboring primes are 3677459 and 3677477; its proper-divisor sum differs from the starting integer by -3,677,472.

Prime Factor Structure

Factorization String 3677473
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,677,474
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3677459 ← → #3677477

Radix Representation

Decimal 3677473
Binary 1110000001110100100001 (22 bits)
Octal 0o16016441
Hexadecimal 0x381D21

Divisor Catalog (2)

Collatz Trajectory (203 steps to reach 1)

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

3,677,473 11,032,420 5,516,210 2,758,105 8,274,316 4,137,158 2,068,579 6,205,738 3,102,869 9,308,608 4,654,304 2,327,152 1,163,576 581,788 290,894 145,447 436,342 218,171 654,514 327,257 981,772 490,886 245,443 736,330 368,165 1,104,496 552,248 276,124 138,062 69,031 207,094 103,547 310,642 155,321 465,964 232,982 116,491 349,474 174,737 524,212 262,106 131,053 393,160 196,580 98,290 49,145 147,436 73,718 36,859 110,578 55,289 165,868 82,934 41,467 124,402 62,201 186,604 93,302 46,651 139,954

More profiles

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