λ
Harmonic Matrix

2,910,507

3 × 107 × 9067
Deficient Odd Composite

2,910,507 has digital root 6. The neighboring primes are 2910499 and 2910511; its proper-divisor sum differs from the starting integer by -1,903,638.

Prime Factor Structure

Factorization String 3 × 107 × 9067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,917,376
Proper Divisor Sum 1,006,869
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2910499 ← → #2910511

Radix Representation

Decimal 2910507
Binary 1011000110100100101011 (22 bits)
Octal 0o13064453
Hexadecimal 0x2C692B

Divisor Catalog (8)

1 3 107 321 9,067 27,201 970,169 2,910,507

Collatz Trajectory (151 steps to reach 1)

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

2,910,507 8,731,522 4,365,761 13,097,284 6,548,642 3,274,321 9,822,964 4,911,482 2,455,741 7,367,224 3,683,612 1,841,806 920,903 2,762,710 1,381,355 4,144,066 2,072,033 6,216,100 3,108,050 1,554,025 4,662,076 2,331,038 1,165,519 3,496,558 1,748,279 5,244,838 2,622,419 7,867,258 3,933,629 11,800,888 5,900,444 2,950,222 1,475,111 4,425,334 2,212,667 6,638,002 3,319,001 9,957,004 4,978,502 2,489,251 7,467,754 3,733,877 11,201,632 5,600,816 2,800,408 1,400,204 700,102 350,051 1,050,154 525,077 1,575,232 787,616 393,808 196,904 98,452 49,226 24,613 73,840 36,920 18,460

More profiles

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