λ
Harmonic Matrix

8,077,555

5 × 1615511
Deficient Odd Composite

8,077,555 has digital root 1. The neighboring primes are 8077541 and 8077583; its proper-divisor sum differs from the starting integer by -6,462,038.

Prime Factor Structure

Factorization String 5 × 1615511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,693,072
Proper Divisor Sum 1,615,517
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8077541 ← → #8077583

Radix Representation

Decimal 8077555
Binary 11110110100000011110011 (23 bits)
Octal 0o36640363
Hexadecimal 0x7B40F3

Divisor Catalog (4)

1 5 1,615,511 8,077,555

Collatz Trajectory (261 steps to reach 1)

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

8,077,555 24,232,666 12,116,333 36,349,000 18,174,500 9,087,250 4,543,625 13,630,876 6,815,438 3,407,719 10,223,158 5,111,579 15,334,738 7,667,369 23,002,108 11,501,054 5,750,527 17,251,582 8,625,791 25,877,374 12,938,687 38,816,062 19,408,031 58,224,094 29,112,047 87,336,142 43,668,071 131,004,214 65,502,107 196,506,322 98,253,161 294,759,484 147,379,742 73,689,871 221,069,614 110,534,807 331,604,422 165,802,211 497,406,634 248,703,317 746,109,952 373,054,976 186,527,488 93,263,744 46,631,872 23,315,936 11,657,968 5,828,984 2,914,492 1,457,246 728,623 2,185,870 1,092,935 3,278,806 1,639,403 4,918,210 2,459,105 7,377,316 3,688,658 1,844,329

More profiles

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