λ
Harmonic Matrix

4,016,477

4016477
Deficient Odd Prime

4,016,477 has digital root 2. The neighboring primes are 4016473 and 4016503; its proper-divisor sum differs from the starting integer by -4,016,476.

Prime Factor Structure

Factorization String 4016477
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,016,478
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4016473 ← → #4016503

Radix Representation

Decimal 4016477
Binary 1111010100100101011101 (22 bits)
Octal 0o17244535
Hexadecimal 0x3D495D

Divisor Catalog (2)

1 4,016,477

Collatz Trajectory (66 steps to reach 1)

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

4,016,477 12,049,432 6,024,716 3,012,358 1,506,179 4,518,538 2,259,269 6,777,808 3,388,904 1,694,452 847,226 423,613 1,270,840 635,420 317,710 158,855 476,566 238,283 714,850 357,425 1,072,276 536,138 268,069 804,208 402,104 201,052 100,526 50,263 150,790 75,395 226,186 113,093 339,280 169,640 84,820 42,410 21,205 63,616 31,808 15,904 7,952 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

More profiles

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