λ
Prime Ledger

2,175,355

5 × 72 × 13 × 683
Deficient Odd Composite

2,175,355 has the prime decomposition 5 × 7^2 × 13 × 683. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 13 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,274,992
Proper Divisor Sum 1,099,637
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2175353 ← → #2175373

Radix Representation

Decimal 2175355
Binary 1000010011000101111011 (22 bits)
Octal 0o10230573
Hexadecimal 0x21317B

Divisor Catalog (24)

1 5 7 13 35 49 65 91 245 455 637 683 3,185 3,415 4,781 8,879 23,905 33,467 44,395 62,153 167,335 310,765 435,071 2,175,355

Collatz Trajectory (197 steps to reach 1)

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

2,175,355 6,526,066 3,263,033 9,789,100 4,894,550 2,447,275 7,341,826 3,670,913 11,012,740 5,506,370 2,753,185 8,259,556 4,129,778 2,064,889 6,194,668 3,097,334 1,548,667 4,646,002 2,323,001 6,969,004 3,484,502 1,742,251 5,226,754 2,613,377 7,840,132 3,920,066 1,960,033 5,880,100 2,940,050 1,470,025 4,410,076 2,205,038 1,102,519 3,307,558 1,653,779 4,961,338 2,480,669 7,442,008 3,721,004 1,860,502 930,251 2,790,754 1,395,377 4,186,132 2,093,066 1,046,533 3,139,600 1,569,800 784,900 392,450 196,225 588,676 294,338 147,169 441,508 220,754 110,377 331,132 165,566 82,783

More profiles

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