8,004,993

3 × 47 × 56773

Prime Factor Structure

Factorization String 3 × 47 × 56773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,900,608

Proper Divisor Sum 2,895,615

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8004979 ← → #8005003

Radix Representation

Decimal	8004993
Binary	11110100010010110000001 (23 bits)
Octal	0o36422601
Hexadecimal	0x7A2581

Divisor Catalog (8)

1 3 47 141 56,773 170,319 2,668,331 8,004,993

Collatz Trajectory (168 steps to reach 1)

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

8,004,993 24,014,980 12,007,490 6,003,745 18,011,236 9,005,618 4,502,809 13,508,428 6,754,214 3,377,107 10,131,322 5,065,661 15,196,984 7,598,492 3,799,246 1,899,623 5,698,870 2,849,435 8,548,306 4,274,153 12,822,460 6,411,230 3,205,615 9,616,846 4,808,423 14,425,270 7,212,635 21,637,906 10,818,953 32,456,860 16,228,430 8,114,215 24,342,646 12,171,323 36,513,970 18,256,985 54,770,956 27,385,478 13,692,739 41,078,218 20,539,109 61,617,328 30,808,664 15,404,332 7,702,166 3,851,083 11,553,250 5,776,625 17,329,876 8,664,938 4,332,469 12,997,408 6,498,704 3,249,352 1,624,676 812,338 406,169 1,218,508 609,254 304,627

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