λ
Harmonic Matrix

1,356,169

1356169
Deficient Odd Prime

1,356,169 has digital root 4. The neighboring primes are 1356167 and 1356181; its proper-divisor sum differs from the starting integer by -1,356,168.

Prime Factor Structure

Factorization String 1356169
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,356,170
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1356167 ← → #1356181

Radix Representation

Decimal 1356169
Binary 101001011000110001001 (21 bits)
Octal 0o5130611
Hexadecimal 0x14B189

Divisor Catalog (2)

1 1,356,169

Collatz Trajectory (137 steps to reach 1)

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

1,356,169 4,068,508 2,034,254 1,017,127 3,051,382 1,525,691 4,577,074 2,288,537 6,865,612 3,432,806 1,716,403 5,149,210 2,574,605 7,723,816 3,861,908 1,930,954 965,477 2,896,432 1,448,216 724,108 362,054 181,027 543,082 271,541 814,624 407,312 203,656 101,828 50,914 25,457 76,372 38,186 19,093 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

More profiles

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