λ
Harmonic Matrix

3,567,133

37 × 229 × 421
Deficient Odd Composite

3,567,133 has digital root 1. The neighboring primes are 3567121 and 3567149; its proper-divisor sum differs from the starting integer by -3,445,986.

Prime Factor Structure

Factorization String 37 × 229 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,688,280
Proper Divisor Sum 121,147
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3567121 ← → #3567149

Radix Representation

Decimal 3567133
Binary 1101100110111000011101 (22 bits)
Octal 0o15467035
Hexadecimal 0x366E1D

Divisor Catalog (8)

1 37 229 421 8,473 15,577 96,409 3,567,133

Collatz Trajectory (159 steps to reach 1)

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

3,567,133 10,701,400 5,350,700 2,675,350 1,337,675 4,013,026 2,006,513 6,019,540 3,009,770 1,504,885 4,514,656 2,257,328 1,128,664 564,332 282,166 141,083 423,250 211,625 634,876 317,438 158,719 476,158 238,079 714,238 357,119 1,071,358 535,679 1,607,038 803,519 2,410,558 1,205,279 3,615,838 1,807,919 5,423,758 2,711,879 8,135,638 4,067,819 12,203,458 6,101,729 18,305,188 9,152,594 4,576,297 13,728,892 6,864,446 3,432,223 10,296,670 5,148,335 15,445,006 7,722,503 23,167,510 11,583,755 34,751,266 17,375,633 52,126,900 26,063,450 13,031,725 39,095,176 19,547,588 9,773,794 4,886,897

More profiles

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