λ
Integer Codex

6,635,767

31 × 83 × 2579
Deficient Odd Composite

For 6,635,767, the 8 positive divisors have a total of 6,935,040. Removing 6,635,767 leaves 299,273, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 83 × 2579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,935,040
Proper Divisor Sum 299,273
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6635749 ← → #6635777

Radix Representation

Decimal 6635767
Binary 11001010100000011110111 (23 bits)
Octal 0o31240367
Hexadecimal 0x6540F7

Divisor Catalog (8)

1 31 83 2,573 2,579 79,949 214,057 6,635,767

Collatz Trajectory (253 steps to reach 1)

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

6,635,767 19,907,302 9,953,651 29,860,954 14,930,477 44,791,432 22,395,716 11,197,858 5,598,929 16,796,788 8,398,394 4,199,197 12,597,592 6,298,796 3,149,398 1,574,699 4,724,098 2,362,049 7,086,148 3,543,074 1,771,537 5,314,612 2,657,306 1,328,653 3,985,960 1,992,980 996,490 498,245 1,494,736 747,368 373,684 186,842 93,421 280,264 140,132 70,066 35,033 105,100 52,550 26,275 78,826 39,413 118,240 59,120 29,560 14,780 7,390 3,695 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100

More profiles

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