λ
Integer Codex

4,615,377

3 × 13 × 118343
Deficient Odd Composite

For 4,615,377, the 8 positive divisors have a total of 6,627,264. Removing 4,615,377 leaves 2,011,887, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 118343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,627,264
Proper Divisor Sum 2,011,887
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4615367 ← → #4615409

Radix Representation

Decimal 4615377
Binary 10001100110110011010001 (23 bits)
Octal 0o21466321
Hexadecimal 0x466CD1

Divisor Catalog (8)

1 3 13 39 118,343 355,029 1,538,459 4,615,377

Collatz Trajectory (211 steps to reach 1)

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

4,615,377 13,846,132 6,923,066 3,461,533 10,384,600 5,192,300 2,596,150 1,298,075 3,894,226 1,947,113 5,841,340 2,920,670 1,460,335 4,381,006 2,190,503 6,571,510 3,285,755 9,857,266 4,928,633 14,785,900 7,392,950 3,696,475 11,089,426 5,544,713 16,634,140 8,317,070 4,158,535 12,475,606 6,237,803 18,713,410 9,356,705 28,070,116 14,035,058 7,017,529 21,052,588 10,526,294 5,263,147 15,789,442 7,894,721 23,684,164 11,842,082 5,921,041 17,763,124 8,881,562 4,440,781 13,322,344 6,661,172 3,330,586 1,665,293 4,995,880 2,497,940 1,248,970 624,485 1,873,456 936,728 468,364 234,182 117,091 351,274 175,637

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