λ
Integer Codex

7,242,463

421 × 17203
Deficient Odd Composite

For 7,242,463, the 4 positive divisors have a total of 7,260,088. Removing 7,242,463 leaves 17,625, which gives the deficient classification.

Prime Factor Structure

Factorization String 421 × 17203
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,260,088
Proper Divisor Sum 17,625
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7242457 ← → #7242479

Radix Representation

Decimal 7242463
Binary 11011101000001011011111 (23 bits)
Octal 0o33501337
Hexadecimal 0x6E82DF

Divisor Catalog (4)

1 421 17,203 7,242,463

Collatz Trajectory (222 steps to reach 1)

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

7,242,463 21,727,390 10,863,695 32,591,086 16,295,543 48,886,630 24,443,315 73,329,946 36,664,973 109,994,920 54,997,460 27,498,730 13,749,365 41,248,096 20,624,048 10,312,024 5,156,012 2,578,006 1,289,003 3,867,010 1,933,505 5,800,516 2,900,258 1,450,129 4,350,388 2,175,194 1,087,597 3,262,792 1,631,396 815,698 407,849 1,223,548 611,774 305,887 917,662 458,831 1,376,494 688,247 2,064,742 1,032,371 3,097,114 1,548,557 4,645,672 2,322,836 1,161,418 580,709 1,742,128 871,064 435,532 217,766 108,883 326,650 163,325 489,976 244,988 122,494 61,247 183,742 91,871 275,614

More profiles

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