λ
Harmonic Matrix

6,469,437

3 × 13 × 165883
Deficient Odd Composite

6,469,437 has digital root 3. The neighboring primes are 6469429 and 6469439; its proper-divisor sum differs from the starting integer by -3,649,370.

Prime Factor Structure

Factorization String 3 × 13 × 165883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,289,504
Proper Divisor Sum 2,820,067
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6469429 ← → #6469439

Radix Representation

Decimal 6469437
Binary 11000101011011100111101 (23 bits)
Octal 0o30533475
Hexadecimal 0x62B73D

Divisor Catalog (8)

1 3 13 39 165,883 497,649 2,156,479 6,469,437

Collatz Trajectory (178 steps to reach 1)

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

6,469,437 19,408,312 9,704,156 4,852,078 2,426,039 7,278,118 3,639,059 10,917,178 5,458,589 16,375,768 8,187,884 4,093,942 2,046,971 6,140,914 3,070,457 9,211,372 4,605,686 2,302,843 6,908,530 3,454,265 10,362,796 5,181,398 2,590,699 7,772,098 3,886,049 11,658,148 5,829,074 2,914,537 8,743,612 4,371,806 2,185,903 6,557,710 3,278,855 9,836,566 4,918,283 14,754,850 7,377,425 22,132,276 11,066,138 5,533,069 16,599,208 8,299,604 4,149,802 2,074,901 6,224,704 3,112,352 1,556,176 778,088 389,044 194,522 97,261 291,784 145,892 72,946 36,473 109,420 54,710 27,355 82,066 41,033

More profiles

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