λ
Integer Codex

642,407

642407
Deficient Odd Prime

For 642,407, the 2 positive divisors have a total of 642,408. Removing 642,407 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 642407
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 642,408
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #642403 ← → #642419

Radix Representation

Decimal 642407
Binary 10011100110101100111 (20 bits)
Octal 0o2346547
Hexadecimal 0x9CD67

Divisor Catalog (2)

Collatz Trajectory (154 steps to reach 1)

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

642,407 1,927,222 963,611 2,890,834 1,445,417 4,336,252 2,168,126 1,084,063 3,252,190 1,626,095 4,878,286 2,439,143 7,317,430 3,658,715 10,976,146 5,488,073 16,464,220 8,232,110 4,116,055 12,348,166 6,174,083 18,522,250 9,261,125 27,783,376 13,891,688 6,945,844 3,472,922 1,736,461 5,209,384 2,604,692 1,302,346 651,173 1,953,520 976,760 488,380 244,190 122,095 366,286 183,143 549,430 274,715 824,146 412,073 1,236,220 618,110 309,055 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595 4,693,786 2,346,893 7,040,680 3,520,340 1,760,170 880,085

More profiles

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