λ
Harmonic Matrix

2,180,359

421 × 5179
Deficient Odd Composite

2,180,359 has digital root 1. The neighboring primes are 2180357 and 2180371; its proper-divisor sum differs from the starting integer by -2,174,758.

Prime Factor Structure

Factorization String 421 × 5179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,185,960
Proper Divisor Sum 5,601
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2180357 ← → #2180371

Radix Representation

Decimal 2180359
Binary 1000010100010100000111 (22 bits)
Octal 0o10242407
Hexadecimal 0x214507

Divisor Catalog (4)

1 421 5,179 2,180,359

Collatz Trajectory (122 steps to reach 1)

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

2,180,359 6,541,078 3,270,539 9,811,618 4,905,809 14,717,428 7,358,714 3,679,357 11,038,072 5,519,036 2,759,518 1,379,759 4,139,278 2,069,639 6,208,918 3,104,459 9,313,378 4,656,689 13,970,068 6,985,034 3,492,517 10,477,552 5,238,776 2,619,388 1,309,694 654,847 1,964,542 982,271 2,946,814 1,473,407 4,420,222 2,210,111 6,630,334 3,315,167 9,945,502 4,972,751 14,918,254 7,459,127 22,377,382 11,188,691 33,566,074 16,783,037 50,349,112 25,174,556 12,587,278 6,293,639 18,880,918 9,440,459 28,321,378 14,160,689 42,482,068 21,241,034 10,620,517 31,861,552 15,930,776 7,965,388 3,982,694 1,991,347 5,974,042 2,987,021

More profiles

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