λ
Harmonic Matrix

1,536,575

52 × 61463
Deficient Odd Composite

1,536,575 has digital root 5. The neighboring primes are 1536553 and 1536581; its proper-divisor sum differs from the starting integer by -1,167,766.

Prime Factor Structure

Factorization String 5^2 × 61463
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,905,384
Proper Divisor Sum 368,809
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1536553 ← → #1536581

Radix Representation

Decimal 1536575
Binary 101110111001000111111 (21 bits)
Octal 0o5671077
Hexadecimal 0x17723F

Divisor Catalog (6)

1 5 25 61,463 307,315 1,536,575

Collatz Trajectory (181 steps to reach 1)

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

1,536,575 4,609,726 2,304,863 6,914,590 3,457,295 10,371,886 5,185,943 15,557,830 7,778,915 23,336,746 11,668,373 35,005,120 17,502,560 8,751,280 4,375,640 2,187,820 1,093,910 546,955 1,640,866 820,433 2,461,300 1,230,650 615,325 1,845,976 922,988 461,494 230,747 692,242 346,121 1,038,364 519,182 259,591 778,774 389,387 1,168,162 584,081 1,752,244 876,122 438,061 1,314,184 657,092 328,546 164,273 492,820 246,410 123,205 369,616 184,808 92,404 46,202 23,101 69,304 34,652 17,326 8,663 25,990 12,995 38,986 19,493 58,480

More profiles

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