λ
Harmonic Matrix

1,356,536

23 × 169567
Deficient Even Composite

1,356,536 has digital root 2. The neighboring primes are 1356503 and 1356539; its proper-divisor sum differs from the starting integer by -169,552.

Prime Factor Structure

Factorization String 2^3 × 169567
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,543,520
Proper Divisor Sum 1,186,984
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1356503 ← → #1356539

Radix Representation

Decimal 1356536
Binary 101001011001011111000 (21 bits)
Octal 0o5131370
Hexadecimal 0x14B2F8

Divisor Catalog (8)

1 2 4 8 169,567 339,134 678,268 1,356,536

Collatz Trajectory (137 steps to reach 1)

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

1,356,536 678,268 339,134 169,567 508,702 254,351 763,054 381,527 1,144,582 572,291 1,716,874 858,437 2,575,312 1,287,656 643,828 321,914 160,957 482,872 241,436 120,718 60,359 181,078 90,539 271,618 135,809 407,428 203,714 101,857 305,572 152,786 76,393 229,180 114,590 57,295 171,886 85,943 257,830 128,915 386,746 193,373 580,120 290,060 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628

More profiles

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