λ
Integer Codex

8,072,501

17 × 127 × 3739
Deficient Odd Composite

For 8,072,501, the 8 positive divisors have a total of 8,616,960. Removing 8,072,501 leaves 544,459, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 127 × 3739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,616,960
Proper Divisor Sum 544,459
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8072489 ← → #8072503

Radix Representation

Decimal 8072501
Binary 11110110010110100110101 (23 bits)
Octal 0o36626465
Hexadecimal 0x7B2D35

Divisor Catalog (8)

1 17 127 2,159 3,739 63,563 474,853 8,072,501

Collatz Trajectory (62 steps to reach 1)

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

8,072,501 24,217,504 12,108,752 6,054,376 3,027,188 1,513,594 756,797 2,270,392 1,135,196 567,598 283,799 851,398 425,699 1,277,098 638,549 1,915,648 957,824 478,912 239,456 119,728 59,864 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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