λ
Harmonic Matrix

7,812,007

7 × 1116001
Deficient Odd Composite

7,812,007 has digital root 7. The neighboring primes are 7812001 and 7812023; its proper-divisor sum differs from the starting integer by -6,695,998.

Prime Factor Structure

Factorization String 7 × 1116001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,928,016
Proper Divisor Sum 1,116,009
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7812001 ← → #7812023

Radix Representation

Decimal 7812007
Binary 11101110011001110100111 (23 bits)
Octal 0o35631647
Hexadecimal 0x7733A7

Divisor Catalog (4)

1 7 1,116,001 7,812,007

Collatz Trajectory (248 steps to reach 1)

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

7,812,007 23,436,022 11,718,011 35,154,034 17,577,017 52,731,052 26,365,526 13,182,763 39,548,290 19,774,145 59,322,436 29,661,218 14,830,609 44,491,828 22,245,914 11,122,957 33,368,872 16,684,436 8,342,218 4,171,109 12,513,328 6,256,664 3,128,332 1,564,166 782,083 2,346,250 1,173,125 3,519,376 1,759,688 879,844 439,922 219,961 659,884 329,942 164,971 494,914 247,457 742,372 371,186 185,593 556,780 278,390 139,195 417,586 208,793 626,380 313,190 156,595 469,786 234,893 704,680 352,340 176,170 88,085 264,256 132,128 66,064 33,032 16,516 8,258

More profiles

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