λ
Harmonic Matrix

2,984,477

29 × 102913
Deficient Odd Composite

2,984,477 has digital root 5. The neighboring primes are 2984461 and 2984479; its proper-divisor sum differs from the starting integer by -2,881,534.

Prime Factor Structure

Factorization String 29 × 102913
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,087,420
Proper Divisor Sum 102,943
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2984461 ← → #2984479

Radix Representation

Decimal 2984477
Binary 1011011000101000011101 (22 bits)
Octal 0o13305035
Hexadecimal 0x2D8A1D

Divisor Catalog (4)

1 29 102,913 2,984,477

Collatz Trajectory (182 steps to reach 1)

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

2,984,477 8,953,432 4,476,716 2,238,358 1,119,179 3,357,538 1,678,769 5,036,308 2,518,154 1,259,077 3,777,232 1,888,616 944,308 472,154 236,077 708,232 354,116 177,058 88,529 265,588 132,794 66,397 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

More profiles

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