λ
Harmonic Matrix

1,178,527

7 × 31 × 5431
Deficient Odd Composite

1,178,527 has digital root 4. The neighboring primes are 1178521 and 1178533; its proper-divisor sum differs from the starting integer by -966,462.

Prime Factor Structure

Factorization String 7 × 31 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,390,592
Proper Divisor Sum 212,065
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1178521 ← → #1178533

Radix Representation

Decimal 1178527
Binary 100011111101110011111 (21 bits)
Octal 0o4375637
Hexadecimal 0x11FB9F

Divisor Catalog (8)

1 7 31 217 5,431 38,017 168,361 1,178,527

Collatz Trajectory (160 steps to reach 1)

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

1,178,527 3,535,582 1,767,791 5,303,374 2,651,687 7,955,062 3,977,531 11,932,594 5,966,297 17,898,892 8,949,446 4,474,723 13,424,170 6,712,085 20,136,256 10,068,128 5,034,064 2,517,032 1,258,516 629,258 314,629 943,888 471,944 235,972 117,986 58,993 176,980 88,490 44,245 132,736 66,368 33,184 16,592 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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