λ
Prime Ledger

7,632,199

43 × 177493
Deficient Odd Composite

7,632,199 has the prime decomposition 43 × 177493. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 177493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,809,736
Proper Divisor Sum 177,537
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7632187 ← → #7632211

Radix Representation

Decimal 7632199
Binary 11101000111010101000111 (23 bits)
Octal 0o35072507
Hexadecimal 0x747547

Divisor Catalog (4)

1 43 177,493 7,632,199

Collatz Trajectory (217 steps to reach 1)

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

7,632,199 22,896,598 11,448,299 34,344,898 17,172,449 51,517,348 25,758,674 12,879,337 38,638,012 19,319,006 9,659,503 28,978,510 14,489,255 43,467,766 21,733,883 65,201,650 32,600,825 97,802,476 48,901,238 24,450,619 73,351,858 36,675,929 110,027,788 55,013,894 27,506,947 82,520,842 41,260,421 123,781,264 61,890,632 30,945,316 15,472,658 7,736,329 23,208,988 11,604,494 5,802,247 17,406,742 8,703,371 26,110,114 13,055,057 39,165,172 19,582,586 9,791,293 29,373,880 14,686,940 7,343,470 3,671,735 11,015,206 5,507,603 16,522,810 8,261,405 24,784,216 12,392,108 6,196,054 3,098,027 9,294,082 4,647,041 13,941,124 6,970,562 3,485,281 10,455,844

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