3,773,003

13 × 503 × 577

3,773,003 has digital root 5. The neighboring primes are 3772999 and 3773023; its proper-divisor sum differs from the starting integer by -3,467,638.

Prime Factor Structure

Factorization String 13 × 503 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,078,368

Proper Divisor Sum 305,365

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3772999 ← → #3773023

Radix Representation

Decimal	3773003
Binary	1110011001001001001011 (22 bits)
Octal	0o16311113
Hexadecimal	0x39924B

Divisor Catalog (8)

1 13 503 577 6,539 7,501 290,231 3,773,003

Collatz Trajectory (110 steps to reach 1)

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

3,773,003 11,319,010 5,659,505 16,978,516 8,489,258 4,244,629 12,733,888 6,366,944 3,183,472 1,591,736 795,868 397,934 198,967 596,902 298,451 895,354 447,677 1,343,032 671,516 335,758 167,879 503,638 251,819 755,458 377,729 1,133,188 566,594 283,297 849,892 424,946 212,473 637,420 318,710 159,355 478,066 239,033 717,100 358,550 179,275 537,826 268,913 806,740 403,370 201,685 605,056 302,528 151,264 75,632 37,816 18,908 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989

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