λ
Harmonic Matrix

2,496,845

5 × 13 × 107 × 359
Deficient Odd Composite

2,496,845 has digital root 2. The neighboring primes are 2496829 and 2496869; its proper-divisor sum differs from the starting integer by -1,727,770.

Prime Factor Structure

Factorization String 5 × 13 × 107 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,265,920
Proper Divisor Sum 769,075
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2496829 ← → #2496869

Radix Representation

Decimal 2496845
Binary 1001100001100101001101 (22 bits)
Octal 0o11414515
Hexadecimal 0x26194D

Divisor Catalog (16)

1 5 13 65 107 359 535 1,391 1,795 4,667 6,955 23,335 38,413 192,065 499,369 2,496,845

Collatz Trajectory (280 steps to reach 1)

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

2,496,845 7,490,536 3,745,268 1,872,634 936,317 2,808,952 1,404,476 702,238 351,119 1,053,358 526,679 1,580,038 790,019 2,370,058 1,185,029 3,555,088 1,777,544 888,772 444,386 222,193 666,580 333,290 166,645 499,936 249,968 124,984 62,492 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033

More profiles

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